{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Local image operators\n",
    "### Box Filter\n",
    "Operator used for finding the sums of the elements.\n",
    "$$ g(i,j) = \\frac{1}{KL} \\sum_{k,l} I(i-k, j-l)$$\n",
    "where $K$ and $L$ is the size of the filter, $I$ - image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "def convolve(img, kernel):\n",
    "    \n",
    "    rows = img.shape[0];\n",
    "    cols = img.shape[1];\n",
    "    res = np.zeros((img.shape[0], img.shape[1]));\n",
    "    # going over every pixel of the original image\n",
    "    for r in range(0, rows):\n",
    "        for c in range(0, cols):\n",
    "#             print(\"r:\",r, \"c:\",c)\n",
    "            s = 0;\n",
    "            # going over pixels of the kernel\n",
    "            kernel_rows = kernel.shape[0]\n",
    "            kernel_cols = kernel.shape[1]\n",
    "            v = kernel_rows // 2;\n",
    "            for kr in range(-v, v+1):\n",
    "                for kc in range(-v, v+1):\n",
    "                    ## border conditions\n",
    "                    if ( (r+kr) < 0 or (r+kr) >= rows or (c+kc) < 0 or (c+kc) >= cols):\n",
    "                        continue;\n",
    "#                     print(\"kern. r:\", r+kr, \"c:\", c+kc)\n",
    "                    s = s + kernel[kr + v, kc + v]* img[r + kr, c + kc];\n",
    "            res[r][c] = s;\n",
    "    \n",
    "    return res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Testing box filter with general convolution\n",
      "Image 1  \n",
      " [[0. 0. 0. 0. 0.]\n",
      " [0. 0. 0. 0. 0.]\n",
      " [0. 0. 5. 0. 0.]\n",
      " [0. 0. 0. 0. 0.]\n",
      " [0. 0. 0. 0. 0.]]\n",
      "Box filter full\n",
      "[[0. 0. 0. 0. 0.]\n",
      " [0. 5. 5. 5. 0.]\n",
      " [0. 5. 5. 5. 0.]\n",
      " [0. 5. 5. 5. 0.]\n",
      " [0. 0. 0. 0. 0.]]\n",
      " == Example 2 ==\n",
      "Test image\n",
      " [[0. 1. 0. 2.]\n",
      " [0. 1. 3. 1.]\n",
      " [1. 0. 0. 2.]]\n",
      "Box filter full\n",
      "[[ 2.  5.  8.  6.]\n",
      " [ 3.  6. 10.  8.]\n",
      " [ 2.  5.  7.  6.]]\n"
     ]
    }
   ],
   "source": [
    "## Testing general convolution with box filter\n",
    "print(\"Testing box filter with general convolution\")\n",
    "img1 = np.zeros((5,5))\n",
    "img1[2,2] = 5;\n",
    "print(\"Image 1  \\n\", img1)\n",
    "ker = (np.zeros((3,3))+1)\n",
    "\n",
    "## box filter\n",
    "print(\"Box filter full\")\n",
    "res1 = convolve(img1, ker)\n",
    "print(res1)\n",
    "\n",
    "## Example 2\n",
    "print(\" == Example 2 ==\")\n",
    "img2 = np.array([[0.0, 1, 0, 2], [0,1,3,1], [1, 0, 0,2]])\n",
    "print(\"Test image\\n\", img2)\n",
    "print(\"Box filter full\")\n",
    "img2_conv = convolve(img2, ker)\n",
    "print(img2_conv)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementing box filter using integral images\n",
    "## Computing integral image\n",
    "Given an image an integral image stores the sum of all the value to the left and up from the given cell.\n",
    "\n",
    "Since box filter computer the sum over the area of the  in the image, we can use integral image to speed up the computations. The main idea is to use the values stored in the integral image to  compute the sum.\n",
    "For example, if we want to compute what would the sum be for the kernel of size 3 in the position $[r,c]$, then we need to use corresponding entries of the integral image.\n",
    "\n",
    "\n",
    "$$ sum = x - a - b + c $$\n",
    "\n",
    "The corresponding values are located in the following cells with respect to the center (r,c) of the placed kernel  \n",
    "\n",
    "$ i,j = [r + h/2], [c + h/2]$   \n",
    "$ x= In[i,j]$  \n",
    "$ a = In[i][j - h]$  \n",
    "$ b = In[i - h][j]$      \n",
    "$ c = In[i - h][j -h]$   \n",
    "where In is an integral image and h width of the kernel. Here kernel are only squared.\n",
    "\n",
    "Special care should be taken with border conditions.\n",
    "\n",
    "![image_name](data/Convolution.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import copy\n",
    "## Implementing box filter using intergral images\n",
    "def computeIntegralImage(img):\n",
    "    int_img = copy.deepcopy(img)\n",
    "    for r in range(int_img.shape[0]):\n",
    "        for c in range(int_img.shape[1]):\n",
    "            if r ==0 and c == 0:\n",
    "                int_img[r,c] = img[r,c]\n",
    "                continue\n",
    "            if r == 0:\n",
    "                int_img[r,c] =  int_img[r, c-1] + img[r,c]\n",
    "                continue\n",
    "            if c == 0:\n",
    "                int_img[r,c] = int_img[r-1,c] + img[r,c]\n",
    "                continue;\n",
    "            int_img[r,c] = int_img[r-1,c] + int_img[r, c-1] - int_img[r-1, c-1] + img[r,c]\n",
    "    return int_img\n",
    "\n",
    "## box filter through integral image\n",
    "## assumes that the kernel is all 1.\n",
    "def convolveBox(img, kernel_size):\n",
    "    int_img = computeIntegralImage(img)\n",
    "    res = np.zeros((img.shape))\n",
    "    ## going over int_img\n",
    "    h = kernel_size\n",
    "    rows = int_img.shape[0]\n",
    "    cols = int_img.shape[1]\n",
    "    v = h // 2; ## shift to the center of the kernel\n",
    "    for i in range(rows):\n",
    "        for j in range(cols):\n",
    "            ## shifting from the center of kernel to bottom right corner\n",
    "            x_row = i + v\n",
    "            x_col = j + v\n",
    "            \n",
    "            a_row = x_row\n",
    "            a_col = x_col - h\n",
    "            \n",
    "            b_row = x_row - h\n",
    "            b_col = x_col\n",
    "            \n",
    "            c_row = x_row - h\n",
    "            c_col = x_col - h\n",
    "            \n",
    "#             print(\"b\", b_row,\" \", b_col)\n",
    "            \n",
    "            ## checking c\n",
    "            if ( c_col < 0 or c_row < 0):\n",
    "                c = 0\n",
    "            else:\n",
    "                c = int_img[c_row, c_col]\n",
    "                \n",
    "            ## checking b\n",
    "            if (b_row < 0):\n",
    "                b = 0\n",
    "            elif (b_col >= cols):\n",
    "                b = int_img[b_row, cols-1]\n",
    "            else:\n",
    "                b = int_img[b_row, b_col]\n",
    "                \n",
    "            ## checking a\n",
    "            if (a_col < 0):\n",
    "                a = 0;\n",
    "            elif (a_row >= rows):\n",
    "                a = int_img[rows - 1, a_col]\n",
    "            else:\n",
    "                a = int_img[a_row, a_col]\n",
    "        \n",
    "            ## checking x\n",
    "            if x_col >= cols and x_row >= rows:\n",
    "                x = int_img[rows-1, cols-1]\n",
    "            elif  x_col >= cols:\n",
    "                x = int_img[x_row, cols-1];\n",
    "            elif x_row >= rows:\n",
    "                x = int_img[rows -1, x_col]\n",
    "            else:\n",
    "                x = int_img[x_row, x_col]\n",
    "#             print(\"i\", i, \"j\", j)\n",
    "#             print(\"x \", x, \"a \", a, \" b\", b, \"c\", c)\n",
    "            res[i, j] = x - a - b + c; \n",
    "    return res;\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Integral image 1\n",
      " [[0. 0. 0. 0. 0.]\n",
      " [0. 0. 0. 0. 0.]\n",
      " [0. 0. 5. 5. 5.]\n",
      " [0. 0. 5. 5. 5.]\n",
      " [0. 0. 5. 5. 5.]]\n",
      "Integral image 2\n",
      " [[ 0.  1.  1.  3.]\n",
      " [ 0.  2.  5.  8.]\n",
      " [ 1.  3.  6. 11.]]\n",
      "Box filter int\n",
      "[[ 2.  5.  8.  6.]\n",
      " [ 3.  6. 10.  8.]\n",
      " [ 2.  5.  7.  6.]]\n"
     ]
    }
   ],
   "source": [
    "## checking with integral image\n",
    "## check computing of integral image\n",
    "int1 = computeIntegralImage(img1)\n",
    "print(\"Integral image 1\\n\", int1)\n",
    "int2 = computeIntegralImage(img2)\n",
    "print(\"Integral image 2\\n\", int2)\n",
    "\n",
    "## seems that integral image working\n",
    "\n",
    "print(\"Box filter int\")\n",
    "res_int2 = convolveBox(img2, 3)\n",
    "print(res_int2)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Applying Binomial, Box and Sobel filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test image\n",
      " [[0. 1. 0. 2.]\n",
      " [0. 1. 3. 1.]\n",
      " [1. 0. 0. 2.]]\n",
      "<class 'numpy.float64'>\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import cv2\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "## Loading data\n",
    "\n",
    "## Test image\n",
    "test_img = np.array([[0.0, 1, 0, 2], [0,1,3,1], [1, 0, 0,2]])\n",
    "print(\"Test image\\n\", test_img)\n",
    "\n",
    "## Real image\n",
    "# img_name = \"data/cat_rusty.jpg\";\n",
    "img_name = \"data/cat_black_small.jpg\"\n",
    "# img_name = \"data/starry_night_small.jpg\"\n",
    "image = cv2.imread(img_name, 0);\n",
    "image = image.astype('float')\n",
    "print(type(image[0,0]))\n",
    "plt.imshow(image, cmap='gray');\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Box filter convolution\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1280x320 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "print(\"Box filter convolution\")\n",
    "# res_boxfilter = convolveBox(test_img, 3)\n",
    "# print(res_boxfilter)\n",
    "\n",
    "## Box filter on image\n",
    "box_ker = (np.zeros((3,3))+1)\n",
    "# res_image_box = convolve(image, box_ker) / 9\n",
    "res_image_box = convolveBox(image, 3) / 9\n",
    "## plotting\n",
    "fig=plt.figure(figsize=(16, 4), dpi= 80, facecolor='w', edgecolor='k')\n",
    "plt.subplot(121)\n",
    "plt.imshow(image, cmap=\"gray\")\n",
    "plt.title(\"Original image\");\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.imshow(res_image_box, cmap=\"gray\")\n",
    "plt.title(\"Applied box filter\");\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Binomial filter \n",
      "[[0.1875 0.5625 0.875  0.8125]\n",
      " [0.3125 0.8125 1.3125 1.125 ]\n",
      " [0.3125 0.4375 0.75   0.8125]]\n"
     ]
    }
   ],
   "source": [
    "### Binomial filter on test image\n",
    "print(\"Binomial filter \")\n",
    "# convolving with B_4^2\n",
    "# bin_filter = np.array([[1, 4, 6, 4, 1], [4, 16, 24, 16, 4], [6,24,36,24,6], [4, 16, 24, 16, 4], [1, 4, 6, 4, 1] ])\n",
    "# res_bin = convolve(test_img, bin_filter) / 256\n",
    "## Convolving wuth B_2^2 filter\n",
    "bin_filter = np.array([[1, 2, 1], [2,4,2], [1,2,1]])\n",
    "res_bin = convolve(test_img, bin_filter)/16\n",
    "\n",
    "print(res_bin)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sXbtW8oto0TcwlP6SQoxAfvCDH+D000/Hk08+ib6+vuGezpDxm9/8Bscffzw2bNjQFmMjhBBC9CoLFy7EM8880+a1ZFmzZg0OPfRQrFixAnPnzh3i2QkhuokstmKPY+nSpVi+fDkGBgawbNkyfOITn8AZZ5yx2/+oveuuu/CrX/0KO3fuRH9/PxYtWoRTTjlFP2qFEEIIIUTPox+2Yo9j48aNeMUrXoEDDjgACxYswPz58/H5z39+uKfVdbZv347TTz8dY8eOxfOe9zxMnDhxl7p+QgghhBBC9CJyRRZCCCGEEEII0dN03WK7YsUKnHTSSTjiiCNw4okndj1bmhBCCCH2TCRzCCHEnkvXf9iec845OPvss7F8+XJ85CMfwcKFC7s9pBBCCCH2QCRzCCHEnktXXZG3bNmCuXPn4qGHHsLo0aMxMDCAqVOn4he/+IUy0QkhhBCiMSRzCCHEnk294liZrFu3DlOnTm3V4Orr68OsWbOwdu3a5CbT19eHUaOU10oMDU1nQ87tr1s6pW5kd94dMkbnrHc3rnM40hikxuQ1djKvHTt2DMt1CZGiE5ljd/iOE52T8xxU/e7r1rNVt9+mvrt74TPT9By17zVLznoODAy0/uXQ1R+2uSxZsgRLlixp/b+vrw+TJk3Czp07K/Xjfww3IcANRpU55vxYj/rr1pdQN5UH0XWUjWfnldOGpNbFjx/1m7Mevk00V3/eXnvtVTqviB07dgAAnnnmGQDxdaXmyr/9uNGasW10LLUBlN2Xus8Q55oaM+e559pF8BnI+YxG11F2bba/up/p3HlZ/HrY/7OvKt8VOWtXhorei17GyxwAcOCBB2Kfffap1A+/vzr9HqtClf6q/kjj353OuWzfbPJHRhX5LrWPl80tV+aoMn5qHfheak/x+2a0n+c8i/zuz9kjIznHj5uSNfz12P/nrHlZvymi9UjJPqSKTBl9VsraDDZH0m2ZIzWfnGu3bVLyw2B9V12zJ598Eps2bcoer6tm0ZkzZ2Ljxo1tAvvatWsxa9astnaLFi1Cf39/618vaIGEEEIIMXKQzCGEEHs2Xf1hO2nSJJxwwgm47LLLAABXXXUVZsyYoVgXIYQQQjSKZA4hhNiz6Xod22XLlmHhwoXYtm0bxo0bh0svvRTPfvazk+fstddemDhxYuWxRkpcbpkbQDS/lAuIvzVsW/U6y7TRKZfZbj4WKbfasrl2una54/s2Oe65VVyHojl26hbkxyJV3IPK3huMqueUuVJZqrjo+jWMiPor+yx14zsk53rqXHNdV+QqLkRlrF69umUVE2IkUUfmGDVqFMaNG4d999230lgjxdJb9rnPcaeNXJH9/6teZ5mLabTX13WPrDKPlCtwHXfYqi7JdeZBojXzbe3enzN/7hfcC1J7QiTD5Mg+vk1Vt+nB+o1IyW2dhj/xWGqvrhL+RFL3N/Wc5VxHXRm5rJ/ouyLnWqu4Ikc8+eST2LhxY7bs0vUY2yOPPBJLly7t9jBCCCGE2MORzCGEEHsuIyJ51O5GTgB4GUOZcc3O08+tarImT05gfE6yhBSp83Ksnn4eg703Eqhrtfd0arGNNJNNWTvZTxWtZ9WEXWXYMffee++2Y3UtnXUSQlRNLJUDn2muVROWWyHE8FO2X+VYoHKsj/b/VfbGKkmTovHq7MOpxFBVLKW5YxC/nnUTVA2l52Ekg5Ul8+lUJspJNBXh5xPtmzl958w/ZSn1a5VKkBr1k7On1/EeSJGSK3zfVX97VJFR/HrkJIz151dZi5HhuyuEEEIIIYQQQtRkt7LYNmXN6lZ/KaqkGW+Kqv12Gg9RJe16p3RqlW36nkf311vMOo03JSPF2hxZUTu10pf1V1XbOBLi8VNa8oiymPvoWA7R/fHPZJklfKQ8Y0IMJ01Zs7rVX9R32f/L3husv5xYv+h7OnVeJ9cfWYOa3ndyxq8bP5vTd3R+Djmx2DkeU1XylHRKaj5lltqq61pGjoyYO6+m1iNH5ilrkytzlPXddBmw3LZV1274pTshhBBCCCGEEKIDdiuLLaljac3JdBbRqQawU0ttTgbmprXAOZbF4baIdRrLUqaNy7muKENhTvbe1BipZyEn07CfT0TO85aTDXH06NFtbap+fqpkFffnpDL1Vo3D9fdupMSmdhrrnnoGZKEVop1OP291+q2S1b9TqmZezbH8klRsXRU6tfSkYjCboooHWKd5PXJiS0nO81s1NrXM+65ujGsqXjXVj88bkbOGOTJHFW+ClBW0qiyXk2ujSubyuh5tTZGTX6SOp8Kg41ZqLYQQQgghhBBCjDD0w1YIIYQQQgghRE8zYl2RR40aVbu48FC6zeW4UHTaX6dtOJ9UIgdPlXI9gx3zbZpyn4mo44qS45KcQxV3mFxyU6HbtnXT6nc6D7og8zU6NydMIMfduYlz7HxIKs3/cLnz+HnUJWdtupWoToiRTu7nK0qA1M2kT6nx/TyqnF+1zM9gVHVb9muWcqWs4q4YuaoOR2hUKoFRN0vnpEglEyJVQoH8PKJr7ua+RZnLy145sm30nPjz6sqoOe7G0eewzM05ct2t89nMPacTmScncZcNearrKp+cQ6XWQgghhBBCCCHECGPEWmyB6uUwSBUtQzcsFE0nr2oark9da3OkPamSdCalRe3WOkRjNaXFTVlqOUZOwqGc8isRZZbablxz6lppqfXXYa+hbPyq116WyOlZz3rWLm35TNnvBZ7H+URJp7y21CeqGGyOdajy/Effj94KklOGwa7LcCd9E2I4sZ+NHA+nsjbd8EbqFt2YT9k6pKzdlrI9LacESKrNUMgcOUmX6s6nrO/cfnIsx3wvVY6wLGFlpzJHytoePQNlFtu68paXjXOs7rlJsTgnn0i0G4m/6vST0z7y0vRrVbVMTzc84iTFCCGEEEIIIYToaUasxXbnzp1t2pKcNNgkZZGsQt1yJd0aqy5lFuTU3K32pEw7l6OZScUPRPPqVGuTozFvKga6rJ+cmJDcY2WWgNRno+qcyrCxsj5uNvX+3nvvDaC4nj/+8Y+tY9RS+muNrt2X8LFj+evhsX322WeXsYi1yj711FPh+XauvI6nn366rb9IY5yjIU6VAkh9v/lYnEhTnPP9UaZhTsXGRZ9HxeGKPYFOYgO7aZVtOo43slLXIbXX1yUnhjOH4fZEqTPXKuX3csvT5Hj0cFy/t9s92suEKW+1OnlKbJ9+LNuGfXOvjiy2fm/m+alrj+RIv9Z+7Kgfyg5AIVuwb65vJDtQVsm5T3XLhqXalj17dfO2+LXLkSs6+S6SxVYIIYQQQgghRE8zYi22g2kBUhqMprSFu7tlItcSzXYpa2MZTWbmTfU5VNSde6Sp8tbLyIJdlm060iTmWIp5XmRpzSku7uNobRseY5xrZAW1f9vz99tvv9Z7XBdqLVPZA711eN9992218bEsv//971vH/Hm+P6DQtqasqV6LnLLcpu5PSltZRXPZqfW+7DtUcbhiTyf67q1rESnre3ejrtWlSnZakvpeSn2fDSdNV9WI+on2K499v8w7KyWXpGSQnGoR0fn8m+dHOTz4Hvdtvtp92MsRPi7X4uNgo+vw1R+i9aKcYz3DyrIhW08yn+sjyv1R9tkY6mc6J8Y4J1ae8y7LaTLYGOG4lVoLIYQQQgghhBAjDP2wFUIIIYQQQgjR04xYV+TBiMzvOS4cOQHKw+EWNBRuz3XKEFmqpEJPpX3315qTlr4uw+E2GV1P5KrqXWFSZQ9S7+eU0EklTPD9MAFT5O7s3Y0t/tj+++8PoH09bDIFe46d6x/+8Ie28aOSSTzPujDb9+3fdAt66KGHWscef/zxtvN8oio7LvvhsSixUx2i56Tu90COi1kOKXcgIXZnmvoMeXK+I3LKa3SLoSz3U7dNqm1ZuE6T1ClZ0+k8ckq1kShMJ0o8VCZ7RW65qTI7vk3KlTgnVCqSA/g33Yspl9hwIb5HOcCGIhEfHhS5Dnt35dQcfRhTlMyKcs6jjz7aOvbYY4+1jcU2lHeA8rW2ckmZ624OUdumP//R74Lc5Gb2/E5+E8liK4QQQgghhBCip+k5i21OqQoylIkLOh1jOEhZq3PK2kR95Vhu69BpP03NI1WSJ0WUqj6nLFWV9Pw51thUkiOvNbWaTb53wAEHACissbYNLbVsM2bMGABxOnxvcd2+fXvrWJnF1iae4vg8n+fY9R07diyAQtu5adOm1jFqUpncwWtTLVwrjh8VXa+SRConaVtTltuU50RqbrLcij2Nwfb96DNQlrilbgmOXv6c5cw9sixG6+EttakEgt7qmFO+rGoJxyr3pdNSg1Vk3Jx+oiQ8VeTPKta2nKSW9v/eKhtZY7nXU66w3mLc/30b24/3vOKY1nuM8kPq+fBzjMoi0WLMvh9++OHWsUceeQRAkcSSMoi16vq55XxGIvyxnDKAljI5JCdBW87zn+OlWbWkZdu5lVoLIYQQQgghhBAjjBFrsd25c6fKSnRAL6xdVGB6OGJrU2WMfEkeS9NzbSr+IaW55nvUhkbn8ZiNV6EmdPz48W2vtMoCu2pNvXXXjkGtJ8+3WktfEoj/t7Eo7JP90OJrr+vggw8GUNzDAw88sHWM7Rlru3nzZgDta8Zx+cp+Ik0i713duNkqpYCq9FMn78BgY44EbxMhuk1ODChpquRGlTGr9Gf/burzW2VdepGqc69T9iQi5xnotOxg7vuDje+9qiLrsM/vYefO/Zuyhs2ZQY+rgw46CECxf48bN67VpkzWsLJLWYyulSf8Hk/PLet5xfM5f7axFluOz2M2rwett3x98MEH2+YDFPLIk08+CWDXkoX2Pe+pkGqTQ/QMsO+Ud2dTXpqp76eqHmwj/9ePEEIIIYQQQgiRYMRabIE4zrMpjeZwWB06HTNl2aujJcnVCHZb69oNzWQO3gqb0lil2qSoEjOZ0nr6dbD9+ULhVWJtrYXTZxikxhQAJk2a1PZKiy2tora9zxpoY2K89pbnUENpr42vPGY1rNTQ8poZt2Lv14QJEwAU2lirDWZ7Wm6jrNHUrNKazPGthpaaWX+f7TzqxMtWtQrXsdRGRF4UHllsxe7IwMBA0nsoJXs0bQ0dbpqKKc1pm4oFbSrDcA5NyxpVs8P6tqk+q8Q+5oyRymacmoeXOWy/PlcH5Qsrc9Cyyv3celVx/z7kkEMAFJZbyh5A4fHFPr1HWDS+j5EFdrXQeguuPc9bMe31eIutlY8oR2zbtq2trZ3r1q1bARTryPF9NYlozlWp4iUWeaSUPUOp78eUV2IdK3MZstgKIYQQQgghhOhp9MNWCCGEEEIIIURPM6JdkS2+DEUVl58mTNvDSRU3w26UP/J9p1xmq9BEIWZPHRedKunsIzotD+XdlKyrq09YELmjelfkKOC/LDEUXYCAIikD3XusG83kyZMBFG5AdOu1yaN4Pt146HpDt187D5/Awbra+Guly429Zpbp4Tw4tnV75vzZt11Xuu9wjhwzcs3mffFJrWzfvlyApcyNvHIK+4z2VfqMnqUyl8pe/w4Voio5+2VZm24mbcqh7lh1Ss10y23Ztk+58tbZ4+05ZW6XuZTt/7bfsgSVVfeApr+Hvexg//ZyRCRzcB9PuSL7EKdI5uAr3Y/t39zH6bprk1Fyv6eMwLAlJmGyc/WyT6p0IuWDqLQfrzkK2aI8xDWzia44N14P5xGtPYncjX3ZwVTpHC9LpUpZ2ee4TGZJff6iz2jO96N3pY6+L6t+n8liK4QQQgghhBCip+kZiy1JaR72ZKtCHc1qrrawilaxilUpupd17mHqnLrWMU9kXc7RInltWCp5BrV11upIrR61jZH10hcOj+bqtZbUeloNKTWJ1EDaJA38m+ez740bN7basAA5U9xv2LABQLs11qfep4bTanFzEmYRakSZYMImiPLa6Kj4O63J1Bpaiy3H4/ypcbXad2pPU4kPvEayG89i0/i+d5ekOEJ0So4loanPSzdK4dWhU6+mnLZRAqMqck3d9akyFumF78NI5vDXyr3MlsehbOD3eotPpBQlrvReUOzXyhVe5rBygPUGAwor7GOPPbbLNT7xxBMAioSPNtEk5+ZLClnLL6/HW9sjrzfOlbJT5GHHV2vNpaxZLGuZAAAgAElEQVTCBFleXrPjUa6g7GHb8Fo5V3qvWSgnkrqei5xPJHNUKWGVQ1TaiKjcjxBCCCGEEEKIPYoRa7EdGBgINU255wLNF023eM1OjgU5x/c8h7J4jdTYQDWtTZSq3p+fk/o7Nadojj7GIKLTVPc56+f7jjR4Zeti8Ro4qxmNSsz4+U2cOBFAoeVkeRqbFp9Q00Wtp7U+eotilF6fY/Ee2BI8q1evBlBoB6k1tW2oXeQYW7ZsaZszAEyZMqXtPF5XZB0mHMuuC+dI7evMmTMBFOny7fVTK8xyAfZvWnqpPbWaTl4P0/NPmzYNQHvRdWqRvdbSxhVzHlGMLvHfI/Zay9L5d6MUlv9eKtOi9oLFQohOaMqCV+ezElnbcnI5NO1FlCrFkzN2jqW3yhh1ScU5V7E45dyXpomsZCRn7qlSPlF5HO9FFeX+oLWT+y/lmki24vncB61Vlv2wb2t95N5K6yv3VNuG+zX3Vsoato2/Ro5p4185J7blfmfXjuf7HCSUc4BCnqKlNspBwrEogzz44IOtNvTW820ibzO+RvIa8XG4KW+TnGe6iuxclTLZIzWfMmSxFUIIIYQQQgjR04xYi20nGrumLLVVqOoD7ufYDetL7hwsUbxJmZZwuEjFGFax5ta5jioaaAu1e9ZqR20jtXHU1kXaRraNLLVz5swBABx22GFt50Trw/gM9sf/A4Xm0cerAIW21B+zWkKrVbTzsNfz29/+FkChNV2/fj2Ads0mtZ1cD16HjZ/lMY5BrafVKHKtmNHZrgc1oi94wQva5nzrrbe2/qalmNfO/qIxqFVmnDFfgWKN+Cxy7VPfT9ZCyvZe294Nyp7vHAuyEHs6TcscKa+oqmOVWWpz4ng73fNzshqnYkHrziMnI3WdGOGov5QFLMejrez+Rm1TlTL8PmGP8Xvce4tF2Yx5jN/39vq4F9OLid5eNj8Iz+P+z1cb/0oLK/dIGz9Liy1lDv7fyhPeEumrFNhjZVmagUL+oOXZW5nttVF22bRpU9s5QCG7UC6wcg2tr/RI47WuWLGi1WbdunVt1+ErVQC7Zn6mLGY943jv2A9lCB97a7HyUY4c3e3fAZ14cMhiK4QQQgghhBCip9EPWyGEEEIIIYQQPc2IdUUGqrvcNV0GI5UYKpV4oQo5btNNmfz99aTcC6LkUan5pMqdlM2DROV+6pQN6pSc9UilOy9LBgUULsjWpYSuML4f60bD8ehusmzZsra29r3jjz8eAPD85z8fQOGCCxTutHRFYZkeutMARVIktrWuLTyPri3WhZnQtYZuvmxjk054F2geswkY6OpDd54ooRiP0b2H62Fdo5lIiu7ONnkUXYbuvPNOAMDatWt3OZ/rMWvWLADA3Llz28YCivXgWvF+2XtI/HNiXXpT7r1lz3dTZYMsPmlGNPZee+017OEIQjRNX19f5ee6mwkqbf+5Y6T26hyZpVPXX48fM3IvTMkcVRI6VaHqunSLVOKuHKIyO6nygZQ5+JpK1sk9mfug3QuYdJH7HN1xbQkdn2D10UcfBdCe4JEhO5QdrMxBl2PKThzLhnN5edEnS/J/W+y1+6RNPjETUMhufGUbe7+8m3OULJTz57Xb5FGUJ6ZPnw6gkDkiV2Sen9qrfRiUxYdEpUpZpuTyKt8nKTnaY9vIFVkIIYQQQgghxB5Fxxbbp556Cqeffjruuece7Lfffpg0aRK++tWvYu7cudiyZQve8Y53YNWqVdh3331xwQUX4MUvfnET826clNUvx3JraTopUVPkJFJKFSvvdI5VLKs5lttIO+cTBeRQtwxS2TE7ttfoW+0pEy4wsRSTQFnr3b333gsAuOWWWwAA/f39ANo1gbTY3nXXXQCAlStXAgCOO+64XebKhAPUwkala6gptdpTahm9htgmcvBWaV/qCCg0mjwvslRSy0iNIrWodiyvifTWUKDQaPIYEzMAhRWXr+zPPuO8V9SeRgXZaXnmM8hrj0r7RCn3CftMJXfw/ViaSiiVk+REiOFkd5E5UgmIUomdUhbGKgmMBnu/CXKsOZHMUWVOVWSFTr/PomRUvu+c0js58lWqH+8dFiWP8smSgCIZES2u3NPsnrJq1SoAxX65YcOGXdpQDuExeoBRhgEKqyX3VnqdWZmDVlx6iVEGAXbdQzl+tEdauQqIS8WkzqdswWPsz66rT4IVWcu9RdLKLJSnKJfwWmmlBXZNOsV7Z5OGWtkPKCzZdizKVXzlfCILvU9Oac/z3zU5paciUp4tZTLHsCePOvvss7Fs2TLceeedOPXUU3HWWWcBAD760Y9i/vz5WLFiBS699FKcccYZbTdRCCGEEKIKkjmEEEJEdGyxfdaznoVXvepVrf/Pnz8fn/3sZwEAV155Zct6dOKJJ2LatGm4+eab8bKXvSyr7xzLRFPxlTnkWkpyCqkPpyWkbhyRJ9LwkKG8LynqrnOVGJ+U5orHWArHatWorfRFymkhBID/+7//A1BoSNnWjkktLAW4m2++GUBhyQWAGTNmtM2NWjpqSu3ceMzGm/KYL7Ju29gYVqAoP2RT+LMfaiSpxbWp9711mNdntbKcNzXGXEsbi8I5UjPK7yKg0J76Yuc2dpjrQA0zY4OsxtSXZOAcbfF3zpUa9OjZ8ppU+x3CY3W9SjypIvS+v+EonSZEim7JHAMDA1kWhZx8GKk2OaViIqtsnRjb3GPdwn/X1Z1f6juqKarE2kZj1/F2qSsbpuKTUzlUvEcb90hrHeV+yf3O71+2H+6/3E/XrFnTauPL43EMa5X1cbRR/CxlJ77aefBv7vu8Hgv3OVo2o/wX3GMpX/HVfuY4N14r+43uoS/FAxQyCvuJyihRhuPa8/wodplzpuxkr91blynLpOJoI0t2HZmj7ueY97IJL9jGf1198YtfxKmnnopt27bh6aefxpQpU1rH5syZ00rSIoQQQgjRCZI5hBBCkEazIi9evBgrV67ET3/60zZLzmAsWbIES5Ysaf0/pZmsoqXLiUHplBwr7nBk3cuJBa07n9xsyp6cos+DnTMYOfMY7NzcNk1lpaVF85577gEA3H///a02d9xxB4DCougLbwOFBZGFv6mR3LZtW6sNLZFsE2nweB6v0Vo/+Te1g8y4bDWs1EByPsccc8wu18wxqNFkRkDGG1uoweMxa+1m/A/XLorRYSwLMz/bNZs0aVI4H3vN3tL7m9/8BgDaBGfGKnGuvHZrCacV12uMU7G20XNfJ3OyxVuMo+zMXttf1q+yIouRwFDIHE1l3fXHcvpNWS+GopJCihzra6dxtClZJUeO8R41dS3Gfq1zssM2VTEjZ4xILklZbr2MwL0SKPZW7mHR2vm+KQfQggvs6uHE/SbKWMx+rKcTLbS0RFJ2sTHDXlbhfmy9u3ittLRSZrDz4Fg+q7G1YtJzi1ZU9mf3espZHMN+J+VUDqGMw3Wk7GHXnp5xXDOur71mvsfr4f2xz0IqDw3nGFmVq1DF+yC1PlVy5gANWmw/+9nP4r/+67/wv//7v9h///0xYcIEjB49uq2cyJo1a1qlMyyLFi1Cf39/65+EJiGEEEKUIZlDCCGEp5EftkuWLMF3vvMdXHfddS2tCgCcdtppuPDCCwEAt99+O9avX4+XvOQlTQwphBBCiD0QyRxCCCEiOnZF7u/vxwc/+EEcdthhOOWUUwD8yQx+66234tOf/jTe/va3Y968edhnn31w2WWXtUz+w0WZG481mXealGAo08+TTt16ckjNNVXo259f59pT92QoEnGlxihzPbfQlcImAWByBV8UnImigMJVl8e8OylQuMzyGN1sbUImuhzRJYUuP9b1xydOsEms6ObCY0wMdeSRR7baMJaNfTJhlZ0HXXuYZMKX27Fj0K3HugcTPg+2dABQlB2wfdMFOXIzJrwX1i2X86ZLFV3EbfIoCtX8XosSOfDa+Bp9Vnh/Ob51vfHlG3wqf9vGE5We8p/DyM0nlVhKiOGkWzJHJ1bbVIKpKq7Dnbonp9qUte2UVGKoTmWOFHWTM+WSu4ZNl0jLSbSVkjl84j+731g3XqBIaGRL4XG/S5WI8aXr2MbOwycw8vIFUMgVY8eOBVCUH7LvsRwi5Qn+HyjkCe5h3MftHs3xKQPRo8MmiiQ+2WcqiSPPt7IL3ZR9WJf9m3P1JZuAYt/lPaBMxbUAdk3g6d2ngWJdeR2ceyqcyc7Vy+ip0pqpUEv/LPvQANtnWduyvlN0/MN2xowZpV8AkydPxrXXXtvpEEIIIYQQkjmEEEKU0mjyqCZpwlKQsvJ1WsYip6RPt0gVSY7wWtMoMYxv0+n1RIlp/FhNUaXESYocDVHVuXONqRm1WjVaEpl8gNpHa3Xk+tHayDaRFpaaQ55vEzIxqQKtmJyHtdhSK8jzjjjiiNYxagfZnpZaW5CdVtwtW7a0rQGvHSg0mtSs0iJtNca8Vh7zCauAQhPJ9eAYq1evbrXhPbdrTrzmmv+3bo1MALF58+a2+XAtgWI9eJ84L6th5dx4z6K09t56aj+bOc9umSY2lews+h7w5SBSGl4hdjc63fdyEkWmSvlUsbzWHb8pUsmScsr81LH0Rm3992P0vVrWf4S3IOXStAyVQ5Rwh+Pyu9se437py+xYzyfKETmJv9gfZRnrHcHzaL3kWNbiOm3aNADF3j516tTWMVpv2Z7HbFlBXocvwWMTRXqZiXu99dry5YbY1l4P++H1cF+38o231EYeU3yPVlUri3DtfXIvyh5AIXOwH2/BBQprMq/Rl/0B8n7DpD5/ZeWOomtOjeHlkCY+N/IzE0IIIYQQQgjR04xYi20ZOb/mIz9ukhM/W6bNi7RiVajrM16lTE5OGvqm43stXntq/59j/ama1rtOP2Vrn7onUYxBWTr96DqpVaNmMdXepsynxpCavCgGkxZJvkZaWI5PSyKtkNZC+ZznPAdAoUm01lzGrFCzytiPVatWtdrQ0rp06VIAxVrZGBSvBaZm0ZbyYXyJj4PlnO06MFaX8a9RoXof0xId49ztenAd2YaWdZven9paH99sU+9zHXmNXI/IGsMxU5aa6LnjcxI9p54cTxYSWW47zUEgxEhkMOtC3fKBOW3KPMhSZYOGgsgCnFNypop801TOjxxrUCrmNxXjl6KpMj+cW6fegN6SZvdW4vcyWxrQWjvtfKL9xltuLX6f8pZboLAy0hobldLjnsx+rFzgS/l4C6X9m/su29gYW77H9fCeS/YYc6BQHrHyAIniZ72FlbHG1mLL55R9+vJBQFGaiTIZLds2dpnryldee2Sx9a92rv7z30ncaxllnqSd9C+LrRBCCCGEEEKInkY/bIUQQgghhBBC9DQ954qcQ6eJocposiSQ7yfHvXgoXQDrJlKKXGWboOn+gPSa+2cox0051V/knkz3ELrKsJ/Idcinn7eurnRB8S4/9nlhMgS6r3A+d999d6vNrFmzAACnnnoqgPaEBUcddRSAIuX+7bff3jYvoLhHRx99NIDCDca66tB9h0ms6Bpjk1DRvZjuN5yrdcfh3Ji6n+5TUaIoYp9p9sn14PrYRBCRe5W/HibD4jrQLcgmcqD7N+8r3Ysi996onBPva5mLWETqO8M/p1W/V1QCSOxJpL77y/aJurJHp2WDPJ2W/elWaSBLtMemvg/L2uR8H+bMqRvJn+oklkqVdfIyh23r37P7Bs/j3kMXXBsu5Pv2LrRAsW+yDffKKBEh91Zfdgco3GrpnkzZxZ7v5ZrIZZb7rR/LXqN3L7YJHr1cRFmD8wN2lTkoK9j5UA7gGDbJJ9/jWFzPVBI575psx2X4FK/DuiLzmC9JZGUaX7LJ4o9F3z0+0WXk0jxcYUuSUIQQQgghhBBC9DS7pcV2KBgOK+pQWEpyLJQ58xjKMiG5WuDBzq9aoqGsiHUENXfR2lFbGVkIfeIjJlKwmkBfQJ1aw0hr6fuzWtg77rgDQGENtlZyXj81mNQI8hUoSviwXBDXw17X9OnTAQDHHnts21jW0sqEVHxlMq2VK1e22tDyywRZvGb73PE9anOjUgRM7MR1sBZbwjny1Y7hE1Jwfew189r8mkWa9LpWB+K1qGVWZ9vGMhwJaoTodapYU+u0te1T5w9l2cE6dCP5TGqvr+J51TQ5iTxtm5znosyilxrDwr2LMgf3oCgxKufGfTOyPhIeyyknYz2vfNJHJo4Eir2YJYG4/1rLpE/A5Odu50/5hMdsEitaUflelLSJc+N7vD4rV7AfLzPYv32pQWuNLduvrazAufE8zsfeE94Prg9lIGsRj6zsxJeMyvk9wPWw8pF/plMyR0p+HjVqVKXPriy2QgghhBBCCCF6mp6x2FaJ8yQ5VsOcNNZVY9lyLCvDoUH0VJ1zFaKYWH8/6sbNdhoblBPvUsUiX6V8UlT+yJdosW34HjWJtBBaC6ePQ6JG0GoGqcGj1pCWTmoYgUJD+rOf/QxAewwKU9z7tPxWW+kttevWrWv7P1BoTRmrS4vpsmXLWm1o9dyyZQuAwmLLuFw7V14PraD2eryG15YvYpF3rhnHsqUEfOkA3i+rYeW41H764vZAsfa+MLvV5vL8SOtZ9gxGcbienHJbUeyxEHsidfeWOp4OVeMsh9P62CnRnDsta1OFpuNmq8pLvn1UdqhpCzZfo7hKWu4ii63fg/hqr4HnpdbVH4tkKnpecd+0ezzlB5bQo7caZQj/N1Ds2dYaS1mJ8gznYeNnGTfLV8oc/D+wa0ytt84ChWWUYx188MGtY5Q/eP2UOaxnnZcfeO9sG8ofvFbKN1YW45z4Hudq5SOuUeQtVqcsatRPjszRDa9XWWyFEEIIIYQQQvQ0PWOxLaOpX/s5mQ8tXtvY65lCq1gd6+IttNG6UkOVsubW0VhHsSxRPEbqvFyiZ5LXZbWn1M55LZ19tnz8Aa1/UVFvb/WLLHp+fW3sBvvkfOw9oPaUGkz2Ywuq05rLcWkVjtaBWlhqjjdu3NhqwxgSakipmbRr52OEeR1WI8m/qdGcOXNm69gRRxwBoIibYSZmmwnax45wna1V12c/jJ5bztFnDI9iYqJYYat9LqPK96D3EJCVVohdKdtfOs14XOX8VIzt7kbd+NtuZDEuo4o8ELVNZXkmda4jsoBFMZS0/PlKDNHae/nIXg/3DJ+5OHpe/avth3sbqwvYGFBaVB944AEAhRWS3lZAYbHluLwuKyv4eFPOnWPasbZv3w4gnS3a79WRlxg9uejFBhQVExgTS5nHjsH18FUwrMWWc6RckcrfUjZn+zdlp8hTMCf+tYpXY9Sffz6a+Dz39q8xIYQQQgghhBB7PPphK4QQQgghhBCip+l5V+TholO3Is9QuAJ7UmOlijanzs9xtUmtWU5CqTouyFGShrKEDrn49chx17CuNnTVpfsJkxzYtPp8z6dtt2N5V2Zf8gUoEg6wLfvhK1C4uETXwfPoqsvkCNaF2Lse09XFur/QDYcuwNGYPrEF70tUbsC7ZkcliujGY12P1q5d2/Yex7RuTlwzuhr5oue2DdclStfv5xYl9+L6+iRf9vpTyR48KTfjnMLsfmwhRDlNyQFDOdZQujankgulSCWYivb2kUAqGWWq3E8ZKbkiehZ80igrc3D/5d4aubFyv45KAhKfUMqH7dgx/J4YyWKRfMT9jm7CnIdN+sR9siyRkYVz4xiRCzBfo33ThxBx7axcwrWL9nh/73medWXmmnnZyV4P5Q/KLpF85M+P3KYpF0X318/ZJxLzc7L/j9yMiXdht+81KWtIahFCCCGEEEII0dOMaIttHY1eN6hS+kWU062SCBGdJnloCh8sb5M1UTvoLa2RZZKvUVIDHmM6eWrl7Fg+QD8qXcPzuB42SRLfowU5KtxN66u/Zmux9ZpQmxTBw/O81tD+zbG4BnYsWrlnz54NoCj0DuxaUH7WrFkA2q26tEbzOqjZtFplPx+uZ2TVZaILzssmheL9TBVL92NF9zfHGhuVFPLIUitETMpKNhTU8Raz5w0nuZ5c3pJXtzRgU+R8H+aUvvH95dwTO3aZDBo9C/x+j6ygqUQ93ususrJ5a6NP3mTn6mUFez3euyzyeGJ77ndWZrF/W6J19fum3f/KEhhFfXordbR2tCRbayjb8z0m0LTQ641z4/ratec9pIzB/ihXAIV3GeUhzieSObge0TOUej79c+FfgdiKWzZWk0h6EUIIIYQQQgjR04xYi20n2sWm4lVTMZgco672tAyr2ehlq0lO/E7Upm4JnypE6eubJHoWojT0xKdtt3hLXhS7wTTyLGDOGJRt27a12lBT59O+0wJrodUy0jZSg0htnY134XuMv6VG0WqMeYzXFd0D/5nimtlng3Pjez5GFShKE0WxMNRg0srN2Fpb7ocaULuOdiw7f/bNNWCpIqCw1PKVcc12XXg/vEbd/u2fD6tx9lpXHrPfJ514nAy3xUSIoSZnT++W5aHqvtnJPHLK7AxXHG6OZbPT8n916MZ6+D5TZfty8nmk4kS9jBzFPJIoFpR7I49RvrFeRL6fyGLryxDa6/LWZM7RWh39GkXr4q8xskBXwXvf2euhlxv3c3uMVlTKLpQDJk+e3GpD+cjHHNv8Jbx+9k05y3qJ8X5QvvGxv/Y9PhP2fvnnJJInSI63mH+2o2e6rG3Zeyl695eTEEIIIYQQQgiBEWyxLdOm5FhjU1q+svMiTURqLK85i8aqoxGqEstR9bwcUtqSyKLoScXtkVTm5Jzsdv5Yp9mMU9md/fXkWK6iOfM8GwdBa+mGDRsAFBo9e77PTMj5zJw5s9WGWrnNmzcDKKyOdq7s2xdmtxpWrgMti9a67OM6Iisox/NZmm0baiD9OtqxyjJh2vvE9v7+2BhZrtl9990HAPj1r3/dOsbC6bR2U3vJtQSAefPmAQBe+cpXAgDWr18PAPjRj37UasP15JypcY2sqVzDSLudsjr4OJXoM+YtviT13cWx7Nr3speIEE3S7ZwQdS1GkZdYJ55jORaSVJtOrZd1YlMjUteemmOZpTS3n06uP2de0X2ukvfFZtjn395zLMobwbEop3BvA4q9lfIAY13tnuZzh6TucyRXeUtg6hmP4jv9MRKtnW+T8org2kW5KriOzD5NrzGgWD/KYrwX9v5QHqF8wv5WrlzZamO9yux8bHwz/+b5lMGieOCcSiYkx3sg1aZMrm4aSTFCCCGEEEIIIXoa/bAVQgghhBBCCNHTjFhX5MGo4obajQQPTZf+SV1HnaLe3aDTpFx1EtBUHcu7q9R1EypzlajqQuET/9jEQyeccAKAotQMEwTYMju+eDVdkG1ZGyYq4nl0Q7HrTdchuhnTRSUqoUOiRA7+uqqWK6hyP8oKgNs+/TzsNfu0/nYedNllYij2be8P3ZqZlOvkk08GULgSAcBtt93Wdj7vgXX1olsSXY580XSgSCTBuUau2d6F2F5rznNZlgwv1Y+SRok9iRxXxqbdUYeLKi7IdRM8Vh2/DjklWqpQxW05RVXZtGyPrSu/+sSGQLF3cayUCzHDpuhCa5NHUcbg3ubDj4BC5vDuqFGZHT+2bV+2/9ljQ/EZ9WNEey73bZvIiVA28HKADX8i06dPB1CUKqQMAgD3338/gEJ24b2zMgPH8gmrogSalAXt+WUlmqJSPqmwBf/9Ecli3SijKoutEEIIIYQQQoiepmcttjl0owRP0+NWsdQO9n4ndEvjXNXiU2YVrjo/rylKJdGpM7+on1RCh+iZYEIAlpphkobVq1e32nD9WMzbJ4oCiuRTPlGATUrgkz2x36h4e+oaqXHja5RQrNN75/tJff5S2kKfYMoe43vUWLNtZOVetWoVgMKy/pznPKfVhlrXFStWAACWLVsGoN3yS4u615bbZBw+vb59XjgPzjWVgMGvR2SNTX0my+5VqhyEEHs6TXuFdauMEJBnYfH/74bFtk5/kddOTqKrFN7i2+l+lerH742p++yTJ6X6iRL2ROdzj6ds4PcdoNjT6EVESy33H6DwZrL7HBAnk+RrdK20NqZKxZCcMjLR+01b7VNtfKLHSB5J7eNcP8p706ZNAwDMnTu31YZyImUNJqiyVnda1G1CKXuuHT+Skf0xf11l119GSg7PkTmqIoutEEIIIYQQQoiepucttjnarKrnDyd1tXzd0kpFRFbVKpbZOpqeTrWoncYlRxorP0b0f5/m3GrMaHX162nHYPp3Wmq3bNnSdi5QxLlQ2xfFU1BbyFces2N5rWkU75LCxzfnPCc55bJy7l3V+1ymIY5iSKiVvvfeewEABx98cKvNjBkzAAB33313Wz/2Ppd9fq1FndpxWnVt2SJafP35vmRDLt7imrNmUQkqIfZEOt1/u2mNJTn7Zt1jOfkVhsLbrI5sUEUOqJsbIrJO5ZQU8u/l7Lkpr6aoPI616gFxmR9aaCkj0MK4ffv2Vhu+x3FtvgjC/cnPze4/KbmqjMgam4pH9s9JqpRPlbJZVT8jZTlD7D1gbCzlO1pjWXoQAKZMmQKgkBEoH9hSf96zjvOxcdKUKek59sgjj7SO8W/mfWE//vmxVPGwU4ytEEIIIYQQQgiRoOctthE52Xu7aakt0+Q0lc04ZTXMsfiSVEa+btDUGDn3tSlLbd15EG9ds/fumGOOaWvLbHfMXAwU1rF169YBaNeaErb3medoybVQC1umTQXSz5LXuEVr4LWEkbXP95OyPlb5PEcxILzmnAzQNo6I9Pf3t/2fGlMAOPbYYwEAJ554IoDC8mrjpDk+412olbX3efLkyQAKSy81pdH41Jra+Bm/RhwzskD7dYzi1qJjQoiYHCvmcFtqO7GipuZeZ8yo706txCly9uoqscc5Y6Usi3X6jc6L7ovfC63nFvcnzpF7SGRZpCWQFkVrWfT7P+dhrYZlc7V7SpX7mmOhj/rz5zX1GU21jZ63Mou8XVfKH8x4TA89xtoCwMSJEwEUOT8oT2zcuLHVxssIfLXzYqZleovLk30AACAASURBVPjZzMsPPvhgW3vKS/b+UmZLrWvKI46UyRydxEnLYiuEEEIIIYQQoqfRD1shhBBCCCGEED3NbumKTHYXN7qc6/BuhjmJHaxbQFMuMp2eXyWRTaqEjz8WlT1J4VOxV3Ftjlxe6S5CVyB7jC6pTCZkE0N5t166gtgkAH6ubBNdJ9fOu5HYfkhOIoaITp+dsuc9J3GXdZXh/KOSRMSvnXULYlIFJo865JBD2s6x4x922GEACtehNWvWtNrQrdgXRI+SPdAVma7JQHGvvdu2LbXgXcu9C1Fdoud9d/leFaJphsLdmNQtSeKJQpI6vY4qJTyauo6IOi7IpOpcq8gIOftoFE7i8fu5/Zuvdj5M8sS+eczuRb4ETxQm5F2QU6FNJMcNNeXOnnOsbhK3HJdZT+pa64SpAYVs8MQTT7S92jaUFykrMOTMJn/ie5QR6Ips77MvO2jLD9rElvY8G/7E5yS1dl7+yPl+yUlCNRiy2AohhBBCCCGE6Gl2a4ttU3QzAZGn0zTjEd6K06k2NrUe3bL0RlrlnKRCdUuTcAyf7Ciak0+FbrVrPOaLlQNFgL63yFFLZ8dlGRj2F2n5/DlMChDN1R7z50UaM59O3/fnry3qz74XnU/qaOwiTSD79trpiMjCyfeYyIFWWJvIgQkXWJaJiZ6s9vQ3v/kNgELrSS2qLePD9rzPNrEUrfw8jwkm7PlcK2pUowQMZdc/lN9vQojB6UYyx7LSKFHZk6bm083EUL593e+xOsmz6ibKSlHFW81bUyOLbZSsyVtfuSdZGYJyjJezUpa4qDRf2XOWSuwU9Vn2f0uO5TZaD39+p0nKyvq1fZf9HyjuD2VA7vFWJqTVnXIBk0nZ5E+UFXhfKTPYhKLsk+ex/I8dg88Hz7MyB4/55yNKWJlDk94ukmiEEEIIIYQQQvQ0jVlsL730Urz73e/G1Vdfjde97nXYsmUL3vGOd2DVqlXYd999ccEFF+DFL35x7f53h7iuHK1UXby2L2XhzDm/GzThOw80r1UjUexkyirstadREWu+Rw0YY20B4PDDDwdQaOlo7bPWVPbF86J5eMtoqgi2jzeNLKap9fXv2fP9uDn3iedXKVMVtfdlboBCaxlpan3sNNfZjsnY2EmTJrX9n3G0QGF151i07tpnycbL2n5snDS1rtF68NmhFZea1f3337/VhppZHx9lr8ff+5TVnOwO37ti96WbckfZ3twNr6qm6Ga86mDnp2JSc6xtQ1l+MKf/VBk0S05ek6bmRLznlrXE5sS5cp/wVjfbpopsGnnGlVm5cyymqblHRDJPnfM9Vb0T/bVFcbz+NbKo85UeWNZiy7+9pdTKE5QheZ9pabXlIvkeLbZWnqDMQQ+yKA6XMg/HiOQIPhcpa7mnCZmjkV8za9aswcUXX4z58+e33vvoRz+K+fPnY8WKFbj00ktxxhlntAn8QgghhBB1kNwhhBDC07HFdufOnTjrrLPwpS99CR/84Adb71955ZVYuXIlAODEE0/EtGnTcPPNN+NlL3tZrXFyrH11Mvt201LZtPY0imNool8gLw7Xr32qCHVO9sCUBbtu0Xj27bPdVsWfFxUe9wW2o7H8e9Yayz59HK3VqjHzHdtG60PtmtdaRpZjrgvjMxh7YdtQc2fjMcoyC6diSKKsjj57ItuktH1+XhbOketkY4V4fk42Za9ZtNfGtZ89ezYA4KCDDmq14TFacdmPfV74NzWkXHvbz9atW0vP53PBa+Oa8X2g0OL6jMu2n5zPRJmHQqTRF2K4GCq5w1Lluc+xPjZplfR9ddp3Ki6yypidVltIne/nGH13NbUuOVUnUrJLzjqUWbWi/ZPf85HF1lcDsHu3lw2iNfP7Zuq6Up6Cvk20x6b2orJnL/ps+dcozjPnHvj7G1miy/obbK5l40drTzmRco2VG33mZMqL9hnwFRTo8WdlS3qOUR6xzwmzIntrsJXB+J61JtehE8+YMjr+VbdkyRKcfPLJeN7zntd6b9u2bXj66acxZcqU1ntz5szB2rVrOx1OCCGEEHswkjuEEEJEdGSxveuuu3DVVVfhZz/7WUeTWLJkCZYsWdL6vywCQgghhPA0IXdI5hBCiN2Tjn7Y/vznP8eaNWswb948AMCmTZtw9tln45Of/CRGjx6NTZs2tbSna9aswaxZs8J+Fi1ahEWLFrX+nzL/e3KCzVPuJzklY7pBldTupJsJFXIKZTdNp/eONJXgJuUW41Po2/foGhIlXeDffKatNYGB+ExAxLZRKR6ffj1y5+Fa8f+2jS83xH5YpgYo3GnprmJdXZkogK4x/H9UUohE4QNl7uyRyyxdY2xSBH8e1zBVxojH7P3lPLzrj/3u4fVz7Xl9TPQEFOuxbt06AMCKFSt2uR57z4HCDezhhx9uvcdrZX829T6P8f6yTZTsgfA6orVLlVzy9yyn1IMQQ0kTcoeXOUaNGpX947Zq8qhuJTscbNwqx0jOXIcyMZb/nu6UHPfRiJTLbVMypN+nou9n7h0+YU8kA3HfsPsE15GuqVGyQu+OG8kTJFXChv14V+TosxGVp6tTeqpuglbvehyVZ/T9RWvv3eKjEB6f6NK6AHO/5h5Pl2C7v1Pe5D1kOJZ1ReY8vKu6LUPI54JjWVmB8keOK7JfqyihaJ2kUSk37sHo6JP43ve+Fxs3bsSaNWuwZs0azJ8/H1/72tfw3ve+F6eddhouvPBCAMDtt9+O9evX4yUveUknwwkhhBBiD0ZyhxBCiDIaK/fj+fSnP423v/3tmDdvHvbZZx9cdtllu1gVUgz2C79uIgfiNTt1rX5VtHRVNXpNlccZrP/BqKOhjTS/OddRlpwhdw45Ca68Fi6yQPkSPtR42YRMfC+lNfXzsJ8BJhOipZRWPjsfb4lMacX8OfY6vSUzSvPPOTKZAFPNA8X9pKU29Vn2Wvacz6rtz1uVqT2MLK5MwOSTL/n29pwIb7m149MqTE3p5s2bW21o1b3vvvsAANOmTQPQXsicyWx8kgf7bPL6ORZL+wCFRpXrSC2utahTe0rtbxWvl5w2stKKXqATuWNgYKBScsrB+iLeQyKntEmKKvuxbTtcJYjKxs7Z4+tYQVNleuomFK3iORbJMGVJhez3qn8vJXP4JIyWyBJImCyS1r7IA4z4dUiVBiSR5bdKyZyUlS6nrFKqVFGVhGjRnPk94hNwRUk6U/Pw1mF7n7x3li/PBBRyCO895TWbOJMJnXg+ZbnIS8xbie01emuslY/4N/vx59j1qEKURK3qd2WjP2xvuumm1t+TJ0/Gtdde22T3QgghhBAtJHcIIYQgXbPYdkq3kzl0M+6l6T6HOv63Dl4zkyqfUuV6UlrcTi3Z3tIaaU+p0aTGzMYxlJ1vr49aLVrgrCWPsbV8L4rzJL6cTao2o4/rjY5Ry2fnQ80brbLWYsv5c3z2befB97xGM/VZjtpwzQ8++GAAhZbZtjnkkEPazqelM0o9H2kNy2Km7P3l9XCNpk6dCqC9TA/X7NWvfjWAP2VmtefY8R944AEAxX1nun17zZHVnu/xGeAcbRxvpC31/fA5tddYho+tbSrGTYiRysDAQFfkjip9DqdV1Y7faZmewfpvAr/fVrEM5hBZXDu9l2VWWft32av928dwRjIHx7f7OOMxUzG23qIYyVneIhmVovRrFuUp8TJUFKNLojjcsjYpa19kTfVlLjlX6+3BvZ7vpeSriByrvZc3I29Ajkv5iPKIlUvYhrKcLw1k4fXYGFuuB73DUnJnKv68zHKdKsdUNw6+bU6VWgshhBBCCCGEECMM/bAVQgghhBBCCNHTjFhX5KGiCbN3WZ+dur+MlNp6ZdcTuajQLSFKYFRG3YQOdV20vXtH5Nrp3YC8a7I931+zhddPd49Nmza1jtFd1V+H/b93kfFuQvYYoctMVJqIc6Z7r004QBcmtrFuOHRp4Xy8+7Rtn1N2iNC1xV4zU8rTZZdjjB8/Hh62jVyZOOdoDP/Medcf2yfhvbcJGFhWhOV+Jk+eDKBwjQaK5Fe/+MUvABTJwngPgMINiGNYl2reI86Nx6y7s30ubduqCaP8OipplBDNkpIPOnUBbirEqlsu0VFoUupYKhGhb5NKClQ2ZoqchFep8yKXTC9zWNdOH+4UuSKXJSey8/J7LN2OgWLPYZ/Rmvn3ojCXMvfRyM3YJ860yZK4b/mESJZUQtCyZyiVvC2SFbwLsg+rstcTue76uUZu155UGSU+C3Qjt/IA+/Yu53RNtm14HmUhW+6H7zEkyiajZKga5xjNg3P06xm5gUdr7vGyxrCV+xFCCCGEEEIIIYabEWux3blzZ2WLXEoDWIWmEifUGX8orbSptPgpzWpTVCkYH801ej5yiqX7ZE/UGlrNKNtQk+itkH5Odq4WatWo6bJj8JhPtmTxSQCqlHGx/XFuTEA0a9YsAMD8+fNbbW6//XYAhVXZXqtPHsBEBVYb7DW8UZKvsoQUkSXcWyFt4oP+/n4AwKRJkwAAc+bM2aVff3+rWh+5VtQwc/z169e32lCzefTRRwMAbrvtNgBxIgZabv/8z/8cQHvyKJYQ4nVZS/jMmTMBFIkc+CzZ9Sm7xuhz7EtG2c+K/2x0q9SYECONOntv2R6W01eTe2xZKaHIA2w4ElSNtPmkiJIU+TnmlASKEuR4S21ksfXeQymZIxrb77tRssBUKT5vCa/yLNu5ch70tDr00EMBFPsYUOyB3NNsoit6RvFYFUt8TqklC+fqE0RxfweKPd33Zy3Q3tJbtXwYz+cYlK+szMH189ZlyohAkSSM87AeZITPWeQlxvc4lrcg2zbeOp2TQCuVPKqs/GaV72dZbIUQQgghhBBC9DQj1mKbS1PxFENBKiZ1uEnFMeTg23vNU0RKW5jSzqSssmXzjix5tEJGsSxee+StXNE8onkxBpTnRUXTc/DjR0WwfWkWO1efIv7zn/88AODnP/95qw2tsKeffjqAdovid7/7XQCFNZfaOnt/vQYxega8JZBrZYuDs/1JJ50EANi6dSuAQuMLACeccAIA4JprrgEALF++HEB7HK7XVEdxyX4etg3/njhxYlvbX//61602fj1oQeZ8bBs+b9R62hjmCRMmACjKGNl4F1qK7XtAukwAiSwkXiOaiokp0ziPlPh/IZokx4paJc5yqCmz3EbvDafldjCqzI3f3U1fT7R/VpFn7PneUht52PgY26gMYVk8sd23KGNEFtecOOQcy1sOnMdhhx0GADjllFMAtOeWuPvuuwEU1lDrqXTvvfcCAO6//34AseXZr4fPSWLb+LbWq4q5MSg/sC33ZaDIp0FL8sqVK3e5Hr+3WlmwbD3tvfNxyLTCslSgnRvXitZY5iQBijwejKml5deuobdSW/yzGJWnohzj5U/7bJV5Nabyevi20bHBGBm/qoQQQgghhBBCiJr0rMV2uK2xVSyaPrPfSKEbGaE7vUY/p8gK6mNAonvh/f5T2tMoQ6HXLPkxozbeYgoUWjVqzmyMArVxPq7DzoPz9hmLrbbRx+JEGf14Pq2Pz33ucwEAN954Y6vNzTffDKDQRF5yySWtY8uWLQMA/M///M8u60C8tdBqXwk11f4zYc89++yzAQBTp04FAFx11VUA2mNATj75ZADAscceCwD45Cc/CQBYs2ZNq42PIc15NqN7R22nj4kGipjYAw88EEAR63vXXXft0ievfcOGDQDaM1JTM0yLr4Xjbdu2DUDxDNlniX+nrNRlmScjb4YUo0aNGvbvXyGGmrpZcrs5fhlV49yaGLMu0TzKLM9RxYCm1sWTigeO9j8va9jvYu8V5mUPe573aoqsWz6PRSr3RjQPf42RdcxfcyqON7KUei+xefPmAQA2btzYavPLX/4SQGF1PPLII1vHuO+uXbsWQOwl5q8jkgXLcubQOwoAXvCCFwAoPOwoA1kPsBNPPBFAIcvRckuPMiDtMUVSWbz9/Hm/bPws93HKjfR2s/eWMbasnECvLyszMH7Weo4RrjXvQSRzeGtu9Nnyz3Aqbtt/pjr57pHFVgghhBBCCCFET6MftkIIIYQQQgghepqedUUeygQInSZ4itw0Ui4tg2FdB8qCs3PcjFMF4iOXRJ+oIHJ/8e6wVa85p9SSn6Oda1kh9Mgdx58fJRzgvaNrRrSuvmC2dROm60bkVkRXEl8CJ3reOD7b2uvxiS14PXYenDcTMqxevRpAkSgKAC666CIAwGte8xoA7YkTmMAh5cbmn4fo/rAN14ouNnTlBYDXv/71AIDf/va3AIoSOnY+dMfh+XS5se7PqeLgPnlH5BLtk2GxH+ue9JznPAcA8OxnPxtAkcDBljRgIgeWDqC7sXVhYhvOx7pJ0R2IzwWfKevK7IkSj0TPDpAuf5BTtkCIPZ2mk6nlJPmpS5255rh41g1timSWyPXY91clxCvnmlP7byqZnpdHonJ13j05VcrHv5aVPwEKGSKac2qMVAmcMhkylawzWjuOy32OrrsMhwKAo446CkCxX+aEzqSes2i/8sf4f7pIA8Bxxx0HoJAfWF7Hzofu0j5pUjRWJOuWJbGKQoH4SlmfpQKBIkSL6xhdc9ln0z6TvA6eb2UwJsTyZX5Srsg5bsap3ycpWaPq96AstkIIIYQQQgghepqetdjm0JQWtSlrRVOlfVKamdRcU9rPTufh+47K0gw2n6jvlAU5pcn0r1FCJm/Ri/rzGqbU+uZYkHM0o0PBueeeCwA4//zzW+/9+Mc/BlAkd/jKV77SOrZixQoAhZbQlgIivNe0FFMLa7V8TGrAhAfUPtpU9Uxt/573vKdtXkwUBRSW0ve9731t51uLrU+sESW2SCU14Lw5V2rHbdF2alQ5PrXTVjPK9aAWOJWgiVrqdevWtd5jQiqOxXnZMXK8EHISQ5UxUsqSCTFcRF5iZd/ddb/TU5a0pqiz76cSPOUkqqpSZsbirVup8kX+fXt+nWSf0dwiOaDMgyxKDFUmn0R9R9/hZUm1Im+zyKLY1PNU5v0XrT0TOt50000AisSVADBz5kwAhcfVfffd1zrGpFE5FlvuzT7JJlDsqXwG2CbaG7nXvuQlLwEQl7fhHL2XFZB+3sssmqn7w+uypf7oMUa5guNbLzH+nZoPZWJ6hNGibs/nK2UNK8vx/FSyszrJ2iJ5rSqSVoQQQgghhBBC9DQj2mKbsgiS4bB2NUEnMcKRdi465vFtcyymUfucVN1sG1mJvLXMUmahTcUqRDEkXtsZtfFjpuaTcyxnfVKlVaJnwfeZumc58S7knnvuAQC86U1var03d+5cAMCmTZvaXoEiLpQxrVFheGo3qd076KCDABSxKXYebEtrKAukA8AnPvEJAEXq/8suuwwA8Ktf/arV5rzzzgMA3HDDDQCK+BBahIFdyyhZOO9Iq01omaW2NCoQzza8VsbtWKsuNdYsV0TNqC2MzvlQI0otKlCsuS/pY0sA+JjhlKdDCr8uQuyplO3R3ZQ5cnJMNDVGlfjX1LHIali2Zvb9VL6GshjBKJ4xJddUyeuR8q7KkSf8XhK1ybH8ptbVvxftX36s6BiJSibl5GLxRBZBjs/yOEuXLgVQWGKBYt/kvm1lDpao8WOk5F/KE6k4aVo6razAskM+D4b1JLvjjjvaXrmPR79TUjHPXqaLPjeUDThXXhdQyCOUeXiOLYdI2YCxspQnovtM2cGez/Y+R01kseWxpiy2EVVLDMpiK4QQQgghhBCipxnRFltLnViJXqCO5baqZbHMkthp7HAqlqVu39T+VIlpyTmWskDlWKBz7lPqmiMtsI8fioqtR5bROnhtJzWANk7zzjvvBFBoBKMsxJxjqqg315paR9sPNYGMT2G/vrA5ALziFa8AUMThWospY1AZL0OtsF2nVPF6fx8jzTXjiFm0nbEtU6ZMabWZMWMGAGD69OkAijVg9mmgWE9eB9fAxgNzPXmN1uJLrau3Pth7l1PcvOwzmhMzKMSeQMrq2Os05SXm36u71+fE5tY5P1XRIaIs7jXlJRYdy4k1TMUl57Qpa5tqE83VywORJa+KpTb6vx+De7S1xPq9ObLIp+bl5SPGhNq9lbIF91GOYS2UlH1oMY48wJgjY9u2bQCKvTo1H3t/IhnD462f/rqAQjZgpmT2Z626Ps8JZTHrJeZ/S9m1L8v8HOWqqcJQfafuXr8ShRBCCCGEEELsceiHrRBCCCGEEEKInqZnXJF3BxfknGRYI4Voft4VpGryqbKENlGShlQChFSSh7LzUgkHInJcMsvcWVOkXMVTbhqpRBv+WOQO7t+L5sFSPnRDsS5DdHPxCZTsvWQbuvFY9xmPTzxg+/EuxEw2YV1vmWyKc6TrkV1Dnp9KVpaCfTIRA/9v16W/vx9AUbaA7kF2nVauXAmgKAVE9ybbxrse2fXg+CnXIZLjcucTXDRVzkyIXmd3dT8Gmr+2nD0yx/05OlZWpiRKDFUlxCqnPE7KhTclT6TaVHEd9kShIqmEZp2WYeokWVpOEqpI3kuFzvj1tM8A92TKHvy/dbn1ITxRKUqWG2KyqFTpR79X2374d2pvTYXZUS7yJf2sCzBdqilHMIzJJpxkGBUTXPGYTf5UlszKjpfzTKfIkS38WpWFBlZ5Dkf2ryshhBBCCCGEEGIQRqzFdqRbNDulW8mw6lph6swjZRFMaUZzSuiUWW4H6ydHe1tF05SzLr6N1fZ5C6dt6+cRWW5z7medhD/U8tkkUNTqMVmSTUbARAvUSNKKaNvwPJb34XVEBcwJr4tlcgBg48aNbedxDWgNBQrNI195vrXqekutnQf/TpVc4jVSe0kLNBNeAYVmlCV9WL7Aak+ZkGL16tVt50cWW1q7rWaV68lrq5vgSYmhhCinr69vxFlsO/3M5iSGq3vNnZZBSo3rLZM5iapySuikLE85MkeONTZVpqdszhEpS3ZKzvGW5+j8HIttWcmlsrnlkuMNCBTX5GUoa42l/OEtthEpbzVv1Y0SQ3lPsshim3peU88Q4biUEXzZHqCwwjIBJ2U4W5po8+bNAArZg4m7rOzCuUaJQIm/jqa8HVOkvBNz2b1/PQohhBBCCCGE2O0ZsRbbkURTlo4qGsqhJkcTmkoRX2axzYmNjcZOxbuktJU5MSjdIkqJbi1vZeSk1y+LT06dl7pmagCtto5aT8Zu0Hpo/2aZHZawYVp5oNBcpkoA2PZAYdm095Bj0RoaaQupeWSZHca92utJlaDK0aAzrb6/LmpRgcJKzTE2bNgAoNCYAsU9ozaWlleriaYWmhpnG5+cE99cVp7KUmYtj+i0vJQQoj7dsHqMBGt01RhTv/+nYmyrWMkia2qqpE/T1tgqpO5hJHNwL4nKufl+Uvk9UlbuOjJHzp4U7Tv+PGux5X7P96J4Ue+5RdnBygo8j/1E99mX8vFWXts+VRbKY9eA46f2X2+VprxGq6x9j7IK5VArQ1AWY39WNvNW3JxY4U6f91QZwr322qvS95cstkIIIYQQQgghehpZbHczIs1KWbxoWfYxT05sji9InYpTScWA+LY5sTVlcyobI0fz4zWZKQ0e8ZY5oLDORRq4KtmlUzEOdbIxe02nbUNrrD2HWQN9nKnVHvL6fTHwKAsi14iaRKst5DFaKu0cCdeTsb+8Hhtjm6OVTlmXuQ7eimqv+YgjjgAAHHXUUQCAu+66a5d58G/2x7VLFVQ/5JBDWseojee4PhbMkvpMcR295dcyEqw6QgwHZTG2vRib3k0PsBxLTSo+c7B+o/Y52XurZCyOxk3JLjnXUec5ScVAR/ewbK6RzJGKZSWpXCJ1rNSp86M5+Pua8wxUxXu7RTIl5Qfuv1ElBT+f1D5c5XqsfMPxKSvw1XrPTZkyBQAwdepUAEWsbWpuvL+RJxhzl9BDDSjWI8og7cdI3aecjMc5Vvuq914WWyGEEEIIIYQQPY1+2AohhBBCCCGE6GlGrCtyWfB0TpKUTvFjNFWSJ9VPFVN76ppTiXJSrhNVxiBRuZ/omO9zsELMTdCUy5BP+x6V60klKfJlcazbiU8mFI0RpZQH4tI1ddywI9fqyD2J49Md1rvH2r54PVGxdH9/6f5i3XLpBsNjXEN7zd4VmS7N0eeIc43Ww69r9Bml+w5dfyZNmtQ6RlchHmMSKybZAoC7774bALBt2zYAhdsxz7XXyr6jNUuVjiL+s55KQsH+omcg9XnuRddMIQajr68v/H5PlZ/oRoIgO2Zdclx3q1A1WVKZW23uvpyzrmV7WSoxVI5bbaf3dCjPZ1u7N/A7n3tI9Ayk5Oiy8JxOE2blPH/RPuOTNUUlgShzUA6wcokPJYrkG7Zh31zPSM5iKFEkT6fkK5/405cPsvNgUkq6ILOMIABMnDgRQOGSzH6sPOFlBvZr5azx48e3vVo3ZS9HpORfP2bqd07kvlyWPLWTz5EstkIIIYQQQgghepoRa7Ht6+sLf7GnUkKTptJON03Kwtlk30CcQCHHYprTd0SZ9qZqm7K2uZRpJIeSSLOZo6lKJcpKWRZTFmOPb5NriSuzHFtNMbWBLHWzdetWAIVmEQCOP/74tvOZ+MBqEvk3NYgcI7Igey2qxSdksiURvBWYbayl1Gt6o6LtLJvENjNmzGg7147h52M1rEwWRcutvR5/P33ZgRSpUgQRZW1kpRW7O2XJo3Lo9PPRdJKnppJH5SSIir4zymSN3H05J5FSzrl1El2l3s8pydeUxbZKecjIMhhZ2cqSYVprItv7pIspa12OF2FOgipLzj7HPZnlbWi5pRUSKPZZWnOjEoP821u57dh+rpHHE9tHZYdykkfRW82X4LHWVLbnsSj5k7fasz+7LhMmTGjr266H9w5LJTqtUkYwoo4HyGDIYiuEEEIIIYQQoqcZsRZbIG2NjTQH3oo7kq0MncTxVo1f9bEAVbWnfoyITmKEq8bqelKaxE5JXVfZ3KKYi0gLWxY3G1nbeR41ejlWtygm8Xot/QAAIABJREFUla/U0tmxqKWjZdPHhFg4H1vWhn2zH77awuGbNm0CUFhMqUnk/32fdh7Wqkt8bG0UExNpjK0GFCg0m7YwuW/DeVnN6NixYwEAa9eubWtjz2V7jhGV9KFVm2tGrbK9Nk/0LJXFW9tj3mof3eeUljz1XAjRq3RisSUjReaoIgPlxL3mWEEjC5h/zV2fMktepxb1ptajm2WhqsQaptY+lVPCx5Km7m/KSpdaV57ny/9ZvGya8laL2nhZgdcTeV75vq0Hlx/Lz93+nfMMpvKl+P9H5XF8P1bmoPzgLdD2HlBW8vGztNLaYzyP+Up8X9F87N/+WnN+J0QyRB3ZvwxZbIUQQgghhBBC9DSNWGz/8Ic/4IMf/CB+8pOf4FnPehae85zn4LLLLsOKFSvwzne+E1u3bsWBBx6Ib37zmzjmmGOy+hw1alR24WN7DlDtl37VmI065IyRYwWpYqnNiXfJpSPNScKy3tRYQxlPmzP3VOZkaxEsi8dIPQupDL/eAmfbeG0jtXMpT4EoNscfsxrTRx99FEChXYye+zvvvLPtOiZPngygyCYMFLEjPkOgzUbMY5zHww8/DKDdUprSAvu5+QzVdh5cR2YmnD59eqvN8573PADAmjVrAAD33HMPgPai6QcffDCAIm6WVl5mN7Tz5n2x8+O9i7TrpI4VNcrKKGus6AWaljkia22Zt00qgyypGp+Zc36n1MmDkWOxjeSKHEttp9ZTz1DIck330ynR/fFrHlkEfS4S+71fZpFPPQPRvlEWe5lj9UsRzdXvZdYDjHkwKHNEeVh4jO+lYls5Ps+JLL8pmcN/j9jr4R7P8yPvLsoNHJc5TSh/2fnTKkuZjLKI7TuqKJGTqbjKZ8D/NotyxJSdU4dGfth+9KMfRV9fH5YvX46+vr6Wu+E555yDs88+GwsXLsT3v/99LFy4ELfffnsTQwohhBBiD0QyhxBCiIiOf9j+/ve/x9e//nX09/e3ft1PmTIFW7ZswR133IFrr70WAPDGN74R73//+7Fy5UrMnTu302GFEEIIsYchmUMIIUQZHf+wXbVqFQ4++GAsXrwY119/Pfbbbz/8v//3/zB+/HhMnTq1zQVy1qxZWLt2bfYmkzJXN+2S3E1SJvuchE51XIhSZVy6sS5lSR6ixFBNBomPdLyrj3X75GcjSiJAvMtP1CZVfL6MVPmh6Fksu2dRWRvvLm3L2rDgONvy1fbDsei6y+QINnkU3ZLpYsMEVXSrsaRcWrwLVJQ0ieNy7ny149NViG5PDz74YKuNdyVmen67Lpw3XaHpSgSUJ33yKfntsYiyhFD2HP8sRt+lURIQIYaKbsoc9vu1zAU51SbVT2qswcasSsr1N5X0abC2qWM5bTqZfx0Gcy/fXch1A/ff6zkyR+r+VikF2VRIX/S7wM8np2RilHDLr4eVS3z5P8olNnzJu2SnEkNFcgnf4xh0JbYuxAxlYokjuiBbV2SuB/vhOT4hJhBfe9lvqJyQhOh6IhdkkvMZrZo0ruPkUc888wweeOABHH300bjjjjvwH//xH3jLW94SCl1lLFmyBDNmzGj9292+dIQQQgjROZI5hBBClNGx6n3WrFkYNWoU3vrWtwIAjj/+eBx66KF44IEHsHHjRjzzzDMYPXo0BgYGsHbtWsyaNWuXPhYtWoRFixa1/h9ZFupYYVOWmjoJpnI3vyparCpJn/z7dcfO6WcoyQkk71W4xhS6okQ9qUQMXlPlExpFbaLPj9d2pjR3KQExpfGlBdImbgDa08izDbWckYWVVk+2pXWWWkc7BttGcB2jtfflfaI14/hM1sBEVzbp06pVqwAUa8d52XI9tDz7se2z7rW/dl29RjUn4VcqSYP/3Kc0xxG722dU9BbdlDmqJiCqUvqj6f02JyFTysqWkjlyLK6pscraDoXM0WnJJtJpArDhIiVz+ESVOZbX6JpzSryUWeJS/aU+WymLbapskPcwSiV2ojxA+cjOwXtVkVSy0AjvHWYTijJRppc5bLkfylNMmMlXa7Gl1xytzJGXlb+eTvf16DdaypOl7L0mPG47tthOnDgRCxYswE9+8hMAwOrVq7F69WqcfPLJOOGEE3DZZZcBAK666irMmDFDsS5CCCGEqIVkDiGEEGU0Eix14YUX4swzz8RHPvIRjBo1ChdddBGmT5+Oiy66CAsXLsTixYsxbtw4XHrppVn9Ran3fVpvUsU6aqmiFahqIS1rby1xZVrTKFaiztxS8ZFV+q+K1+BFlqc69IL2NGXl8jGl/m8gr5yTt4YCheYvFUPirZfU1kXa3Igyi0ZkXfYF0a1V1o/LMa1GkucxFpVxJowpAYBt27a19cfzrSXax/zauZZdq70+zpHlfQ4//HAARdkfoNCW0nK7fv16AGhlabXtaQGm9tRasnlfveY5IudzxOuLSiOopI/odZqWOYBY7miCnLjZHOtnjjU2ZWkti71MWWxT11PH+toNi23TFvGcax8pskcqRjYq5VMmP0fXnFM2KCWPl1lR7Tn+/FTJmZQc78e3Xmd+v+Q51opJmYVeYZQnrLcVLaLctzmfHIt4ND4ttTafBmWeqVOntr1aq+7WrVsBAA888ACAQtaw8hHHZd+co7U2U3bia/Rdkfos1Cmvleqvk/I+nkZ+2B522GG48cYbd3n/yCOPxNKlS5sYQgghhBBCMocQQoiQnklvmWPBLbNkpLRaKcttTjbhHE0XSVlsozGqaCA7tfBUIdKslGnlOsls5s8vOzZStKcpovvdicY7umZvsbVaS2+99BZT22eO5TmaO62O1H5SO2izCFOryDbUiNpndMqUKQD+JLza62Ahcts350HLqZ0XsxnTims/f74oOTW11hrLv+fNmwegiHuhVdbOmxZbX+gdKOJmmNmQ184527l5yzpQaGtTa++JtPU5HgI5jJTYfCGaZDCLbWQ58paZKntRyipbNdNw2bEo82uOVbfu/Js+p4pVKCXn1SHlJZbT73DJJXXio1PHovUtu7aU1S+ycHo5vGrVBz/X6P5wL/UWYGsppVcYLabcK1ltASjyeXjZI4opjWQof60+8zFQxNROmzYNQCEzWHmAFRfWrFkDoPBes1Dm4KuvNGGvg31Hn/2ctfeeYKnvHBLJnU16XjRn+xVCCCGEEEIIIYYB/bAVQgghhBBCCNHTjFhX5L322qu220pOsqeyFNO2jf9/5GYRuQfmuBl7Ui7NI41uujCmCjl30u9IcVe2CQv4d46LKdt4N1+Ldymx/XnXcLrB0HUWKNxUOK/oHnh31ih5FN/zhczt3JiAge5A9v7QDYeuzf39/QCA7du3t9rQlZhuukzMZF122IYuRHRNtnMj7Me6Ih9yyCEACjdljmGv59577wUArFixAkBxX4444ohWG55HeO2Rm3CU2CkqiQSkwxYiV2T/2fJlB4BdXamiZBxKPiV2R0aNGhWW7khRttdXlV3Kzk8lf6rqZpwzRpV5D0VIQo6bcVmYWjfnkyKndE3T5JTkKZubb1PlWUytvXcx5WsqWVk0jxzX6tQ8yp4TK4tRDuHcGDJl93rvghxRlqjKjkc5hHIF5QygKG3IsCe2tfNgKNSGDRva5kU3aqBwQaZcw3lZeY97Ol9zQiNS5Ui9S3LUZyRT+hA6uSILIYQQQgghhNjjGdEW26qWQa+NSlmucvqukhY/pcnw7+eMuafSZMrvoSI1Z1/42+KtdNRcRcW0+exYjVvZ+NHzx/E5RsrTILLIlT3TKU0655qThMO2YXIEaiJpqbXz8lq+yILtrbjW8sn1oIZ0woQJANotuSzvw3GpYaV1FgDWrVvXNh8mvrJaWKtttXO197IsEUMuOd4qkYXWnhsdyzlHiN2BUaNGZSXIsZTJHBHecpTy0kpZZetabAebV2774aDKdQz3d9NQzMNbQaNjZSX6ojZRQicvn1RNduY9g1KyckTZMxxZhXOeey8nWS8kenV5i62VGcrmmkoUZdeeMgdLCTGpJhNEAYXcQNmF59tSPg899FDb/P9/e+cW41dV/fH1m04LpQUsVUpLOy3QgsECtVADXujfmCb44oWoCRECvoAPhBhe5E0fCNGoTYgmXl6QBE1AqcSkaDQYQRKNNeEiItpWepOWS1spECgtc/4PzZrZs2bt76x9zu83c87M95MQOr/fOXvvs89t/fZ3XVSdTT3DdD/dRm2N1Oaw5xWdl0iiuYiS7pWJyqntafvW/piK7v2KIIQQQgghhBBCElqr2NZR7nL+7d5KRKTMD0pjHfluqvFFyaU0bzN1YmW7QESd9bZBcau29E66OqUrbKryeUqevR6868yuzHpxm14JIAsqqK6gVVNdtbTzkR6XrkjqGL17zI5Z8WJIdJs0BkX7t6UA0tT7unqqKfi1EHo6Vu3v/PPPF5HxmJh0NdieO/0uVZlRjK29l6Jlx0Qmzo+2jfILtFWxIWTQ9Hq9kDKAVIuIR1hJLJsXI+8pthF1q2Q8XaItSu2gQF4EXpkcpMaisjqKvp9Kyst558DaExHbJaL6ldoc3jyITHz/Wq8wfa978aLWBvLyjKh9kXrqaRyvfqb5UtQTTGRcxdXvNB+H9foSGbdntK/02PXYNG8KsjkipSgjHimKl6/IU2pL2im9t2fXrw5CCCGEEEIIIXMO/rAlhBBCCCGEENJpWuuKLIJL8Hif59wRvHZy5THSf1t3oEiqazTWusxWF5tB0G8XaOTmZF2PUXp964KbfobS4avriJccyYJSzeeSTaR/R9yU0Hc5N7yIexI6PnXLSV1+dHs7r6krspYLUhcgdfNJP7OuOvq5yLj7j/a7b9++CZ+LjKfl16RTmoTi2LFjY9toH/ZY02OOuC7mnl3e/sglC+2bcztjiR8y2+n1ehOeVU1cdCPukp7NYUMSosmjcmPtuptxHaazzE7aX9O+ciFn6B3tuXjqvz132FxIVPp8z5UNRNe0HXNu+9w2decul4gNjcOGBHn7ee3aEkfemLVtnec0GaUmedLP1NZIbULtT+0ItWHS5FG6vSah0j7VbVlk3ObQcC6bRCrdL5IYyiPybInYlDnbpcnvKCq2hBBCCCGEEEI6TasV234RUUPS1Yfcqqm3otGP1YXZjDcvM5FQqukqrpfYya6aekkKbCKHVBFM/y2CVxLtONJ51f1QYic9fluMO92mNDFA2rdtK23P85jQ/3tJDXSuVKn1klrZ/XQVEyV/SY9PEzasWLFCRCamyrfH9ve//31CH7t37x7bRlP168qojicdq01IoduUPjNK1Jd+KRVUaslcwKq1+pkI9u5S6pTX8eyJnLdYun0k2ctcxHundSmxVC4xlJf8yX6Xvm/0M1VqkWKL7DO0TUS9tNuWJD1MQaUBc+1514C16z3bxZZFRPaRZ2tYhTJVY9Xm0ASVS5YsEZHxhJMi47bBa6+9JiLj3mGa3Codty3p4yWstEqt9zzp97Ojrn3fz99SVGwJIYQQQgghhHSaViq2mnY/XV2wqwCRX/VohagkdT4qYEyltl3YVcaS0jUIT421n9lVv/QzXblLVVrdD8XGWlXXi0XNXYve8aUxFpbIKq7i3Td2Gy++AhUFz41V5y5d/dR/W6+K9PwgxVe/U8VV/5+WBNKV1V27domIP/e6kmpXydM4XFs+QSld2URzlTt3pSnz7XnxVq4Jma143iU55RbhqanInrDPsYiXGFVaH887a5DKba4PbxyR/BXWEyx97+VKA3rbWM+ndD9L+t7Ud5h9V3veO/aYPaW0brymnUeUYyISG4tKdOp+Vg31YnXRe9yej/S8aGyt2hVLly6d8He6vcbUHj16VETGY23TcWtfXp4Sq+KiZ4V3TWrb6BzmrvvSe8zmlvGu0aGhoaJ2qdgSQgghhBBCCOk0rVRs+wXKHppbRU23QTG2pD79zlzcFLQSZFc/UzXWqlmRFVYvZsPG1KbzYotve6phZCXLXsNefEhE7bOrnugceoq0XQH05kWP2RYZT9Vru6qs/0/Pj7ZtC6Kn6NzrNqrcpmPV7/bs2SMi45mQRcazH9vV01Sx1X4jz4+SmPRBZmJHfVG9JbOROtd1He8u5CWGFFsqteXMRIxtpJJCpMqCp/pZe8SLw7X7ee8PVDnE7m+zJHtj9qgTdx7JJl6qPubyRJSqsbkcIp4Xn5fzw55Xja1NY2wVzdmhdkTqaZfLIqx2kshkpTYSl1yKbbvuPTaI51k7flkQQgghhBBCCCE14Q9bQgghhBBCCCGdppWuyFVVZd0HIqV77DaRpE+o2HnEpdmDLnvl9NtN2WsvVzTa69Omf/fcglC7nquQUuKCYd3ivT4Uz9XN9u/dXzkXl3R/L1W+3T7nspPbz36ux2Pdr9NjsMeIXJo9NyPPjUhkojvPkSNHRETk8OHDIjJ+Lbz88stj21j3Md1WU/uLjBdOR6VzIuXDUNkR6yLuuYGj5GC5dgiZC1RVJaOjozCJZG4/9H+RvAty2lfOBXmm3I7tM7x0HE1tn9ngbu25uub+Fsm7IKc2R67MT8S+EcEu83ZsaMy567PkXvG29+waVC7ItoOSR0WwY0ztg5zrbTpme148m0P/r3aNJooSGXch1hAndUmOuCKjvtDc15kfNA4UwobatMnKUkZHR4ueCVRsCSGEEEIIIYR0mlYqtiJ+kpyUSFpvJf3bKk5eIfRcCRGkYkQUtLo0ba+p+tnvxDT9KsFT0gdaQUYrnPYzr8C1VQa9Y4goYN61aPvwrkVbwscqnl7/tri3h7cCaI8NreAhVVfR/tOVUV2ltKSf25VRWxoo/U7T7GvRc5Hx4ug65n379omIyKFDhyaN3xY3R/e6JrhK0/NbIt4eabt11FOr3Hr9etcr8mTxxkbIbOG9996Dz0MFKU6RZJReuZHIM6FfyVoGRT/HU6fEEmpnOoj0hVTQnFLqlaVB81JSXgeVnlI89THXf2SsyDvSU4VzY0agexT1hX472Peezkf6zLAJt9LfMeoN9tZbb4nIuOeXeoalqM1hbQ9vbJ7SmTu/EdUbgbxXPSKeCpE+Sp8DtFAIIYQQQgghhHSa1iq2OWUoorx5ylcOtApkV0Sicbi237qqhy1cnOs73daj34praf9tB8X12tUwVIDcqojp9pHz7a3a50rwRGIlUJymF4Np+0BjRH3k+kR4Mba2bVSiSPtIy+zoqqmuiJ599tlj36n6e+DAgQltp/EuK1asEJHxc+iVT7DPGu9Y7fMgEtsyyHus5JqkOkvIRDyVDdkDEfUk94wsVSoi26PnSMkzps7zKFIextu+6fNwOuyTiBqLiLzH7fsG2RyotBBSbHPjQO14Y83tF1FTPeoqtrnP0DbedWf79975evyp55iitol+p3G06fyod5l6fnnnMBfPjzxAUPmw3N+2X0vOfvHyepTe902h1UIIIYQQQgghpNO0VrEdHh4OqUFIcWqa2RNlza2jVHmKE2LQakl0FXM6MxT2e2W16RyiLMC5OF6vz7orVjnFNkLT84ZW3iIeFHX775eHgY2RTWORjx49KiLjK6RpFmNF42R1GxST6mUmzG3jrZ5GnlWRzNYWtI33PLLeKSirOCGziaGhoQlKSx0V1csMapUVz+tGsV5aKObQ6xfFLEbIbd9vbxGPyPE17XeQ8cl14gk9ULx1To2ta3OUKJulSmnEm2GqvqPfoW3q7hcltVfUxvCUW62OoJ+pKouyXtuqHCL5dzpSl9E2EXsLVVRAz5yI/ZrLFt/EzqCFQgghhBBCCCGk0/CHLSGEEEIIIYSQTtNKV+Rerxd220WJXBYsWCAivssfSvoScS9E5FxJom5FU1Hq0mzHpSC3gFLqHA9yI+93iaRSIm5EuTFGytyg/T1yrsConaYJxbw+BuWG6hVCt32ivnV/z61HnwNpYqlFixaJyLgLsueSnCtynqKuQorOOUqG5V3jETfjpqEVddqLzD0hXUdtjlJX5Jz7nLeN3m/6zPDKp0SeOd44mibWmYrSREi5viIJiHKf1aHEDbakHQ+UrKlOXyhhZa5v1I73HaJO0qfSY5/OMDelpCxTJFmt95lnp1l7RF2R03d/LkwhHYdNTNXU5T1ic5eU9In0mWKP1Us4VXqMtFYIIYQQQgghhHSaViq2IqdWNVM1pGQlsqSMhlfKx6JlQ0oTH6AyPbkV2X6X5okSSWDUVLWJlC2KbJPbNqWkZE1dbB91k52VJPxAZWXqrNx5yR76NT+RYvJoP5Qqvk6SlIULF479e82aNSIyvmqaFllXdGVV0cQQ6QqrbqP/123S9qxi4xV2V/Q7b5W+XwlP0PnQ/m0Si7RvqrdkNjJ//vyx54FI/j7xno9eCR/bDir3U/Le85S4SLIYa3OUqLwpdZ/rlrr9N+kjomKWJFQSySeN6pcSjfoqPZ6SJGMRxbakdFTkfJd+N6ikZsjmQIm7VE3V/6clBt///veLyLhXGFIm7Ts2/Vt/F+mzyrMn9N/W5ki9RHKJItNjteMqJXLf2UR5npfY8PBw0RhooRBCCCGEEEII6TStVGx7vd5YzJtSEqsRiR0riWUpTZueU7w8haZkHLZPjxK1rZ9qaC5+F61ge8esClFkBTuyqubtX6K0RtStfhNRUVHcTUn6doRX7qdEWSgh0o433zoPuoqZzss555wzYT9VadN/Hzp0SEREFi9eLCIT71FdEbXHnCq5Z5xxxoT+dX+0euqpunY/71mBYutR2QdFj0PbRvffVO0OolwGITNFr9eb5CVWQsT2QNuUeGVEFBbPey3Xf12bo67yZrdBbfcrXjWnVnuflSidaKxI4SxVhXOUKvt12omA+rLHHL1uSua1zlg9ImO1+TzS3ypqD5x11lkiIrJs2bKx75YsWeK2nb5bc+WcUk8S7c/ayul9rTZGxObw1NycPe+py5FcLlYdRufQszms99xUULElhBBCCCGEENJpWqvYDg8P146h1FVXXaVARDKCob501QOtAun+NptZut+g1D+RMhU3UhzcI7K6pqA40Zwi6K08RzMseu2moPNb57z0M07a9u+pdpGYp9yYPFVW8bwQBpW1GmXIRtvYGNc0pmXVqlUiMr6Kevnll49999Zbb4mIyDvvvCMi4yusXpZ1e+zpfewVWReZeN5yamz6fLJxMkiNUVDcq14n3vWr/XrPntx5tavKVGzJbMNmRc6BPJZ0f/Ruy3klRftAnl8K8uDQMZa827znIqJEJZyOvCLIMy4SexxRfHN/i8TiTfsdu+z1XUdJR8pcicpcaqdEbMkSIu2hbew9pcqpeoaJjMfRrlixQkREli9fPvad7qc2h/3c69/muhCZnE3Zq8TQ1OaIVNpAOVBsO/bZFfFwTds9fvx4UW4PKraEEEIIIYQQQjpNX37YPvroo7Jx40bZsGGDrF+/Xu6//34REXnllVfkuuuuk3Xr1sn69evliSee6Ed3hBBCCJmj0OYghBDi0dgVuaoqufHGG+WPf/yjXH755bJnzx754Ac/KNdff73cddddcvXVV8tvf/tb2bFjh3z+85+XF198ccoEDVVVue42HhGXZA/kqhfByvfvvvvu2He5wOuIm5M3RgtyafZomlBK5yiXWKa0bVRiyZ53z3XIK4li+7Btp2MvcVdGQes5t+novESSPiH34KmIJMVCLiEoeVTT5B4oCVUunb537HqP63lSVyCR8bT6q1evFhGRiy66aOy7F154QURELrzwwgnjSZ8Hes2g0jeKdctJz5tN3OD1hRKq2WeM178+E1CCqdyce6WJcs8wBfVDyCAZhM0hcuq+8uwJ+zxC134kvAaVBrLteO89Jb1vc+VKSseaw0sag4gkCipJRNivciOo1JK1T7xnMNq/JEEVouRYUaiW93dJMq3c3953JddSNBFZ0zb7vY0+G9TW0ISTqSuyuh5rGFSaPEpRewAlVkUlDyPlEHMlBr2wI++a9ra3fdn+PZf13P2HbA7vHBw/fnz6y/30ej353//+JyIix44dk6VLl8ppp50mDz30kHz1q18VEZFNmzbJihUr5PHHH+9Hl4QQQgiZg9DmIIQQ4tFYse31evLggw/K9ddfL4sWLZKjR4/Ktm3b5I033pATJ07IeeedN7btmjVrZN++faE2zzjjDHdFw6ooqaIWKZQdUetyCZ3Sv1U9iahsSqq0IoXHjsmOOR2HXZmNlPsoSdpk+yslXTG258NrNxds7m2j+x8/fnzsOxucjgpT51bH0nGXrJx5Y0alFWxKdm9e7PgjihxKioDKttj90r5KygNFVkYjXgToulMFZuHChSIynkp/6dKlY9toIind5rXXXhv77oILLhCR8UQMei7SxA45VdpL0mATw6QKUUlJMe8asIqvdy5zCmt6Dm3SmEhfuZVeJo8iM8WgbI7h4eEJ961VIDyviFyyl7reMkg1tM8aZHt46ol9p0WSQXrY/bx3Us5zCqmYkTlDY0bv6BKbA6myNuFO+m/riYZUYTu+dPyR41FQAkBvXu1Y7d/ecSDQ+ch9Fyn14u0f6Qtd25FSPjrnKFGk2hUf+MAHREQmPG9UoVUVV5NSpvvb5HFpQif9zI7fU1NtwrrIbwjkoYfsTiVyDtJx2DF57eYSXaXbHD58eHoV25MnT8rdd98t27Ztk71798pjjz0mN910U9iVWERk69atsnLlyrH/BpkhmBBCCCHdhDYHIYSQHI0V26efflpeeuklufbaa0XklPvPypUr5dlnn5Xh4WE5dOjQ2IrGnj17ZGRkZFIbd955p9x5551jf59++ukyb948dyXQFkdGqlIkrb5HbsUqXe3Q1Rdv1ScXi+qtznnKigXFu0X87VH8nu0DrZ6i/W0MU0QFReOwK9beeLzVU/1MFXW0QquUpBFHq/UKih9Iv9OVOlWc9e80XtseR2QlPaLeI0MOxZDm+kq30XtTr4l0Gzs2/X+quiu2APqiRYvGvtN/q0Kriu373ve+Sdvo/1W5FRm/f20pjMQkAAAgAElEQVQMdTr31lD2rjdbOgcdM4rzUlDca6TsAloBt88Ybxz2GtT/p+dnOspzEJJjEDbHggULZP78+WPPBZHJ7zCk2KL4+9wzGym2KO7NI6fUerZCkzFP1YfdH9kM6N0eifO07xCkGJWUJEHPZz0HqcpmlSYvh0IOVOoFPe+tZ4B3nXhlXOxz3f4/PTZUyjJ3DURsKU+VRdcratvek+h3gb0W0DVlbQ+R8ZhaVWzV5khLDGpeD/2/lhpM/21tZe9db+8NT+FU9Hg8bxNrF6B4a6T6R2wO/T+6/9Dx6DWo1196j51++unTq9iuWrVKDh48KP/85z9FRGTXrl2ye/duueSSS+SLX/yi/OhHPxIRkR07dsh///tf2bx5c9MuCSGEEDIHoc1BCCEkR2PFdtmyZfKTn/xEvvSlL8nQ0JCMjo7KD37wAxkZGZFvf/vbctNNN8m6detkwYIF8sADD4SyE4pMVlLsKqP9v0gsbjXyqz+njiGlAq00eX3n1GW0TUQpQTE+KIaypA+PXEyqF1esn3nzZFc50Xi81Uq7eqqgmAtELuYh/SyXMTj9t8ZuenHaqobpNqk6ZuNw9W/vOtF7K3KP6f3lxWB695aNHfWuV9u/jSnx2tH905VRq4LqPqmaotvrZ6rGpnNnleN0rLnY5XSsOkdoZTN3T3nHbPv04vq9PiLx1Vbp9dSCnHdIOg47ZzoH6fl57733irwcCOkng7I55s2b5+bsqGNzRN43Xh6LSEZbr71IfGZE4cyNER0PUsCsmlOqDluQGmRjoUUmnzOUuTWisCLFCXlVlcSL2v2R6u6p3tY7LLWFcp44SLFFuW7QvWFBeR88pTWnwnpegKgd2y+KRbXjSp8H+g5UW0P/Tq83a/ukzx57vXpzlvMS9c4vUrStzeHZyiV2jXeP57wrvf3suNJ50f11Hu31J3JK7S5RbBv/sBURueGGG+SGG26Y9PmyZcvkd7/7XT+6IIQQQgihzUEIIcSFy+6EEEIIIYQQQjpNXxTbQTA0NORK69atwEvkgNzkcgkTUhm9jptdJKkQcinx3Aly4yhNsR5JXoHasS4+ERcmz+3Euo1EEjt4INffOmn1S0DtlCTFEpns6uO5/uTKBXkuwBF3IG1b90ndaNTtxkuAZF1zdJs0wN9eH94xaP/2ek/bySX+Qkk0PBdti+fWF3Eji7iG2edTxHUPUXqN5pJOeOVCIuPwkoMp8+bNK75nCWkzvV5P5s2bB91YPVfGnHsvelYht76SMjuobZSwEtkcuT5KbQ5LxN3YszlyyQa9flEYCLI5StyvkWtoJOGOUpJkCSVb8oiEtaDSKrnkWemY7Xzm3v0p9lyITLZDPJsDhT/ZaxklSbJz59lZ+n90/yA7C7k7RxKq5VzWvWu6xOaw7/50HB4l9ytKeBe5FxQ7n+kczp8/f3qTRxFCCCGEEEIIITNJKxXbXu9UsfT0F3pulQKpUyghU2RlSVcevD7qrMalK1W2nYjabMeHiCTOiiaYya1cR9RLT3XPJZqy/eZAiRMUlAiiTrF3lIwjkhgCnVerYkbGkQbfq4paogR6CYlQoe9cwgNvW10dVBVVk2Kl3+XaTY8nshKYG2d6PMjDAJW5yinGqJSPlxjKehh46nBEscm1532GkshFkr2UrCoTMhsYGhpyFVuk1OSSNkWSSUYSQ9VNeog8wCKqcuRz9N7LjTFStkckZu/l3s0RmwOdQ3QM3nsi8szMEVH2Ix4CqE3vOitR5LxEoJ5X11TjQe9PdL0iu1OxSnSaDCtnC3pKNrIHcgonusdSSrwy0O+CnP2LPAWRDVVyvaIxI+okxYt4kuSgYksIIYQQQgghpNO0UrEVmRzHFVGK7OpRxCdfSVcybEwpUtI8cgqcp9hG2rMgFQUpixavDAJSjlHa9VwMC1q5RiuSCLT6E0mXbr8r8t0Hq6do7pEqi/qIlFFShRPFHkfuH0tp2YLcCmDkeNJ71+5vSx2l/7bnN72m7TlHHgoedn+rzqZt2vjodJuIh0HJqmmkLEXJ8wSVc7AllwiZrQwPD8MY24jXToli6913SFWt855CdkC/4zxRnpGIkufNGSpBl3v/Rt7RSGWLlC3ybI5crG36mQVdJ8h7LmJn9duu8RRbG9vqtYnsI6QuR9RLO6/Iy9Li2RwoPhmdXztm710fOS+5Y/a2iYzHjh0ppSkReyTiNVcH7zpBv53cNhqNgBBCCCGEEEIImWH4w5YQQgghhBBCSKdppStyr3cq9T5KYBRJfIDcTtC+uURI6DPP7bMkyQPqyxJxIY64IkfJBfhHki+hxFsR113Fc6HwEvUouTI5ue1z+9vj8NxoIm7G3jnzxpbrA825TeUecUnxzgtylVXsONJkUNZ9B5XQ0f3tPKffKeqGkrqjnH766RP2177TpBF2XN5x2D49NyfkQohcl3JErj9E5PzW7cMmzotcU4R0HbU50ud0zuZAbrnIFdk+19A2ddxJvbaR22cd18i07Yg7bElfkcRByGXWCx0rcRW3f0cTROVcQiPJDiNhKelYI+6fKJwsBzq/Xjv2WOuEdXn7R1yRvbm3IUGlidly93FqJ9m+IgmZvONB47CUXIuRUoWl7/GIu3LEFbpuGbO6ULElhBBCCCGEENJpWqnYipxaffOSE6Gg8NyKqLeChxSNyCqsJZIIIpKMx+ujRPmNrNZ5iXYQuRXryEpiSk59TI8vp9R6CXtKFFuvzQi5ki8ik4/DU/jsqh5a/bTtpmO15yCiDHpt6v4oEZLXdkQ57nfZg9zYU+wqKkosgfbzxqH3Byqho8doyxilIEU+t02EuqosGk9uFdhLokHIbMImj8olRETeYhH10sO+FyJeX8ieiKhA3t+5/VCZnYg67IGe6zmPOKTEIcWqZB49JQ6pdBGbJdp3+pn1mkn/bc9B+nyOeAFGvMTQPtqftW0jY0XqozcmdE2XqJe59qN92uPwjrnfZW1Q0qc6x5wb21SUvPMjyjG63kpKLeWgYksIIYQQQgghpNO0UrHt9XqyYMECGE9hP0//jVYklZL00Va58fCU5KaxrbmVs6Y+6d4qn8WLLVC8/bTkjAUp2d6qtH5m1UOvmHYk1hAROT921RStjHrqlqLXUNMYzLplV2ybGosajT2OeATk7rtIH14sir1O0Ypt5JqOlMlC14TXNooFn2oc0fs4p/YjdbrEMyXXpgiee0JmE0NDQ26MbaQET0lsLHrGoL5KVI+ICoro9zF72Oca8shBqlRO8Um/Q3Gj9j2FbA7kjdQvDyX0Tssdq+d1E7FvIh5YJe8rdN2h+OSSd3Nk7qJlbXJ9RlTiQRDxQoiU+UFegLltmoLmqunziYotIYQQQgghhJA5RSsVW5FTKwyRotHIB97uW5dI5rqUXMxl3VVcRElsbQnpKmFEJbQqKlo1tOqnF7eay7Dr9eURmWukRuXU2LTPEydOTBhr5DyXxltFMhXn2kQx0HXjGOz5iVwbkXa9a8D7rkk7kezIKSWZLOtsEyWyAl9y30dWcxUqtWQu0Ov1ZHh42K3EgPILRPJG1LmHIqqUp+bWUYwj6glSbJuCclPkthXJK4rI5kCKrVVlvbwCJe9hZFeUxP4iTyHvmiyJffbmXvtTr0YUP2v/9tRypDBGVOGS91WJYhu5fpvGiyJKlGd0PNNtjyg5+8qbj0ieEfsdsuWmHFvR1oQQQgghhBBCSMvgD1tCCCGEEEIIIZ2mM67I6haRSyGe/rupW24kIUy/3DYjbkH9ci+uS0lpGTv+UjfHnCuyl2oegcolRFyX7PlF6egj7UWSXih1k6bZdvuVQCvdLnJvlZT9KWkvpU7SppJkYVHsMSKXtab9I5es3LXUNKmd56o2yOQZhMwUQ0NDE+6XnEsnej7Xdc/NuR5Gy9tEXEwtEbfppkmoSog8M1HZkxKXamQXeM/wkvIxaF5tYijvHEbe32oDeXZOxHU+t236by1hZ5Oo5Y7R0jSZVklysjo2B/oMuSCje7SEkgRkyH17qn1F6p+nkoRhnq0RcZu2Nr+X+LL0mUPFlhBCCCGEEEJIp+mMYptTar1tSlZP0WoFStwTKY1iVyC8UjE2gZF3PCXB8yWp3uuqSh6aSKlf6nJTtdGqul75IlQSJaKC5vaPnGevr1ygvbdtvxIhRfeP3Fu5VdOSe8UbB0reFknqEaFEUY+k4PcouTcj+3tzFkkaUzJX6imjq/eEzFZ6vR5MkuTZHChp1FREytWhZ43nRWHHipL5RJ73KKlPU8+NSAKliHdWvxXkUgXLm2u7rb12kMps5wV5i6H5Qe8E5IUQSQhZUnon9/dU+9ttSmwOT+Gsc50gD4GIYovGXNfmyHmrofZKyhAiipVTc2+gayv3u8n+O9Rv0daEEEIIIYQQQkjLaK1iOzo6ClckI5SsiKB4CqRwRApkezG2dhtP3SqJnYyoXLmxp9RVXr0U+f0kEk+I8MoXoZT5OZU8ktodxQNHVmibxk5547D7l5JbTYusopaS289btUTqcCR+HY01N8cRD47IOYySW8FHsdyRsgmRPgdRJoCQNjLdseMobi7y7EbPuoiKU9eDJPeMQc+8pvGIM0E09jj3jETli1AcbiTOWYlcL14fNkYXXSeeXRI5n3XOeeRYIypov7wJPJsDeYuV2GWlnmyRMea2qRtjG7EnIrZg5PPcPVIHKraEEEIIIYQQQjpNaxVbEX8lJKKwRFZCSvpH7Q4qQ6DXP1KlIsqgBamrkZg6L4ZEqbsaHFHUS+JWPexqZYkCnqruSGm1++XicHL927GibSPnukR5Q/Hrlkg8cFepM2codmo6iaxYlxR275LSQkhdInGvyDvLUzj6FXdbB09FRTGcueNAGUpLssx6qp9Smlcj10fp3JfkYilRWlE+jkhWZDSuuu8XexyeDWjPOTpmu01Jpt9c2/a7iKKY2xdRV22OPCMieXAQkW36ZWOgee53zoCSdpo8C7tteRJCCCGEEEIImfPwhy0hhBBCCCGEkE7TalfkCCWlWpqCkgGg/ktcMj353brcouRESqkrRiRIPdI2ci8qKWuDiLj3RrAuyd53CkrsVFJeygOlxc8lRUAlcBDIVaZk/HX7LxkP6jPnItu05BEiMsam7tf9CqMoaZsJogiZjH3mRkJOmrqPooRMde7/tL1IIpl+PQtKEu/1O7FU6butSTIsj0iiHTTPkaRNEbfliHsw2q9kzHVKyYlMtr3Q9Yrc2UuunRL34kjyKI+mpf0QdcKevHGUJGuqE8KJqONeXgIVW0IIIYQQQgghnabzim2/8NRYVEKnX+rNdKglJWOtO57cKlZJEfj03yWrR00V+ZISRekKYy4ZR2lpIrQymluRRaVvIiBPh0jpHG+skbIHuXHULYFj90d9RT0u0H4i9a+3yH3Yr9XXSFKvEnWYqi6Z7fR6vVBSoKZ477g6XlFIbUOq5aBK70RK4KTUSdCDklh523jeWLb93Hu8LpESKRE8jzSr0kUSPZaWC7LvVM8+ingx5LZN0bbR9YpsnzrJoyLXPbomm9pZJSBvwNy17W2PEqz2qzRSybGWPvtK70kqtoQQQgghhBBCOk0rFdterycLFiwI/XJH6kXku5JYwdIYWxSDqX3oilVJqvvSuOJ++/tHytrUHUeu6HNp7GTT+bTbKEjd1RW0dCVN/41KEyne/Oh+aFVN+2ga64vU9twcofnwSkVEaFoGIkKJImlLPXl91b03lUiq/MjKKDofuZITXgmrqTwvZrqcESH9ptfrFXvbKBG1D+VSsH0iVTei1HpqVy5fQ9MyH/2KKy5V0iKqVEQNys1radmgOufXw743I55T6TMcXQO54/AUW2t7oHwpJd4N3ni8PnLxt0ixbZq/pY76OB2UXoto/xylsdj9mqucIm+PueS4qdgSQgghhBBCCOk0rVRsRQavCEznioynxPU7Q+kgs7BFMgJGFJ3I2FDcwFTjSomofpHY2pLYJ4+I2lfSZiTeRYnEN3vboxVa/X+duUOgVdxBELn/7PzVLUB+4sQJ93MUZ4L6QJ4oJZka0XMpl3W6ZLyEdAVVa5EyEnl/ReJnI/v3C5RBFj0zSjw0msYD91sxRqo76qtuTHVOqa17LtF4bIyt95xGHly5tr3rBCm2uXbQeUYKclNvM0tpPouZVGqRF0Lddvr1zGkaK19yT/Uz9p+KLSGEEEIIIYSQTsMftoQQQgghhBBCOk1rXZEtM5GspKlbQklBdOT6h5Lw9Nv1uG57uWOs216J25cHms+S81pSfshrV92CrHtP2makrFRJwqCIu7Pn8o3KFtUp5+RR57yWJIibjnukabgAol8lwiLuPCXuWtZdismjyGykNLlfv0vE5P6u284gEgnatiPuxoi6LsC5sZUm2mnafyQpV8n5RMmflKbJmmzYkXdNK3VL40Xcle140L1VcsyRhKAopK5fZXoiY6qb2Al9V8e1um45xBIX4joJ+epAxZYQQgghhBBCSKcJKbZ33HGH/PrXv5a9e/fKU089JRs2bBARkZ07d8rNN98sr732mpx99tny05/+VD70oQ9N+V0dcquCpSszkXTn/QatntgVIpSe3xt7JGlUaSB9nf0j7eXaQQl76oJWHeuoj3XPgVVT0/1zq4Olc2CPFZUWQsmfUNH1XOr9lMhx5Oaq9P7LJZtAycfSPu12NslXOqamq4wRZR7RJL1/xKshHVdujN51S8igmCmbI2IroPd4zsNhqr7QZ02YjiRvTdXqpgkV7bZ1Fdt+4SlY1oMs0mfJcxYlf/Ke7/a5XqouR5IK5pJ6ee+SSAKikvmYjmsyklCtJMGp91np/na/ugp0yX79un+a3scpoSvlC1/4gjz55JOyevXqCZ/fdtttcuutt8q///1v+frXvy633HJL6DtCCCGEEA/aHIQQQurQqwqW9NasWSOPPPKIbNiwQV555RVZu3atHDlyRIaHh6WqKlm+fLk8+eSTctZZZ2W/W7t27ZT9LF68WG688UY88MAv+JISK01jMSOlVTwfdqTm5vr3+kJxJpFU6pH9ETklrnilJaDqRkCp6u1nJecuModo7lJFMNe2F6eCFAGlJC4q8l1krHVXnut4ESBlUfEU28gxe9hryCMXy43ipKcqpTPVuEpKA0UoVWB7vZ7cddddcvTo0aL9CCllumyOhQsXyqc//WkZGRnJbhNRaLxYwdyzEqlkpfFqObUDeYBF8lCgZ6b9Pyqzo6BtIvsjmsb4IiIxjuj5nptr5FVVEmPrvRuRPYJsjlz/pQpjJDbWjid9f9vvIjZYpC+0n/0bXZNoGxRPjMZvrxM055Ftcu2m/0bjisTPlsTz1i3r9Pzzz8u9994rx44dC21f26ds//79snz5chkePuXN3Ov1ZGRkRPbt2we/I4QQQggpgTYHIYSQqWhFVuStW7fK1q1bx/5+9913p/z1Xzd7qPXp73ds6VRt5rYt6SuiPEVXRiPjKVHlSuZzkKoSyhRcotSWqLveNvazdFxqhCneyleTLH1N4yrSc4liV+v0Ebnu7bbeGOz+CxYsmLRNiRKecvLkyQl/e/OZW630VuvRPpGV/Ei2ypKMlmhFfyr1v99xaYRMJ9bm0Hvdu19KrnXv2VmHiCqFPitRlz0VB+VUyKlSEfXRa7OuzZF7ZpbOfW77SJx0KZF2Imo5UviRzZJT4NB1X3LsEUUwbS8S6xuJv0XkFGh0TXueF/Z8IJU5YnN4WNVficwLetcjxdaOz+sXZfqOnCfbhzf3aDzWVp6K2ortqlWr5ODBg2MvhKqqZN++fTIyMgK/87jzzjvlwIEDY/95xikhhBBC5iaDtDlKDSdCCCHtpPYP23PPPVc2btwoDzzwgIiIPPzww7Jy5UpZu3Yt/I4QQgghpATaHIQQQqYilDzqtttuk+3bt8uhQ4dk6dKlcuaZZ8quXbvkX//6l9xyyy1y+PBhOeuss+S+++6Tyy67TEQEfjcVixYtkhtuuMH9LucOENk2/Qy51vWr0HDE5cBSt++myZ+Qa2Zdt++p9kWu4tH2c1g30rptWXeafrqBqwtLv93IPex1FUmylG5jxxpxMfPGbBO6oevN9olcfpT58+dnjwclW/Hmtc49Gkk0Fdk2Rcdq3SVRchK0TYlbcc7964477pAjR46Exk9IKdNtcyxcuFCuu+46Wbly5aTvIkl8lEjyqLpuraXuyZZIiZaIe2/E7Tn3fI64f+baROOeqo8SuyriUumNI+dG6m0TIfLeKk1glEuoGtk/cv2hOUPHo/9PPSdytkJJQjPUjmdzWNsD2RwRuyTiypxSYnOUJJhC7SDsNZ2OL5csDYVYKaU2x3PPPSff+c535PXXXw+NO+R/8+Mf/9j9/JJLLpE///nPxd8RQgghhHjQ5iCEEFKH1gaWjI6O1k7epJQUw06ps6LaRNXM9Z0bf6lqmNs2unpjlZ6SVcfSREiR8ilNyY0jUhy8JDnWVG1rIimrnnpzhohcr7lkWCkoeRRK4DQVyHNC202VVsWumiIFGfXlreJGVk/7lTCrXx4ger14q6f2O+0zTVam36nyG1k17ed9R0ibqarKTRiEkprYd7R330SeIyU2R0Q5tuNr2h5SDZVIaRQEev9GSppE25xqm0H0Zd+fJeelVC1Hbdukmrp/er0iJT3Xb8n8ePeYZ5PZcaD9IyCl1aq6SLFF5ZjqfmfHoZQqrJbINen9nfNC8OyJkm3qqsvFiVCLtiaEEEIIIYQQQlpGaxXbqWItI+pfieJbugrUVE2OULIa1bTMh93POz672oe+89rO7Z/2hfpogqeC5uJNcvvlKFFqvXHYY05X7XLlgurGUKNryvaVxinbVTUdI8ommtaUzPWFYn3tfqgkAXoeoLIWJQp83QLkJc8TFK9mj9Fb0USrp/Y681Rd2563zcmTJxuvJBPSdnLPiFIVtK7nGGpzqvZK40Tr9IGIxNbVzVVgt2k6v5HY4yYxvylIBc21U6LQTzUe3U+f55GcKpFShx65+wYpg6XtRmKObV8loPI2HtbbDT0HIl6AdZX9qbb19vPGam0Or5SltRE8e97+H82r9T4TKbc5qNgSQgghhBBCCOk0rVVsZ5LICmBkFaut8WkRNbdUOW1yrKV9TYdaHqEkrtpTDXOk86GKJmqnjpKIrnG0OmfHE1m9RNn/tL0TJ05MGivKSJ1b9YzEA5XuV7JSWFc1KImRV1D2TdQHiqW2++u1mJ6fEydOULEls44mimqJalgS91a3nZm4PyN2BVIRS+cup/a1xT7wFN+ISmbpl1qcbmdja9M5y7WF4l8RJR4PkVhflOnfuybsd0glRl4AuezMURU0dzx1FduSc4AoGQe6x0uO2bP5bR+pzYGqnHi04wlACCGEEEIIIYTUhD9sCSGEEEIIIYR0mjnnipyT0iPB/Mhts23UdUWqezz9SvqUOw/p3M+E61FJH94cIvfeOm2XHnNuv6hbkHVBtn+nlCR2Q0W97ZhR6nw7Tq+vlBJXZqVu8qg692JpGYccXur9CPYcpK5Ag0rwRshMMTo6Kq+++ircpsTlL30OIffEkj765aZcQlM3xwh139+Dtr2iYS0l1HFFjvQfdW/PXYNemA+6Xpu4IiPSceRcf9G9hdxqUbLQ3P6Rcj2RZFZov6aJwPp1jzZNYuXZcjZkzStVaD9TWyO1OV588cUid2QqtoQQQgghhBBCOk2vamEWkNNOO00WLlwoixcvnumhFPHmm29yzNNAF8cs0s1xc8zTQ9fG/Oqrr8rx48dnehiE9AXaHNMHxzx9dHHcHPP00LUxl9gcrfxhKyKycuVKOXDgwEwPowiOeXro4phFujlujnl66OKYCZlNdPEe5Jinhy6OWaSb4+aYp4cujjkKXZEJIYQQQgghhHQa/rAlhBBCCCGEENJp5n3zm9/85kwPIsc111wz00MohmOeHro4ZpFujptjnh66OGZCZhNdvAc55umhi2MW6ea4OebpoYtjjtDaGFtCCCGEEEIIISQCXZEJIYQQQgghhHQa/rAlhBBCCCGEENJpWvfDdufOnfLRj35ULr74Ytm0aZP84x//mOkhTeKdd96Rz33uc3LxxRfLFVdcIVu2bJFdu3aJiMgrr7wi1113naxbt07Wr18vTzzxxAyPdjL33Xef9Ho9eeSRR0Sk3WM+fvy43H777bJu3Tq57LLL5MYbbxSRdl8njz76qGzcuFE2bNgg69evl/vvv19E2jXPd9xxh6xZs0Z6vZ48/fTTY5+jeZ3pOffGjO5FkXbMeW6uFXs/irRj3ITMBWb6uRaBNsf0QZtjMHTR5siNu+12x5y3OaqW8clPfrK67777qqqqql/84hfVVVddNbMDcnj77ber7du3V6Ojo1VVVdX3v//9avPmzVVVVdVXvvKV6hvf+EZVVVX117/+tTr//POrd999d4ZGOpkXX3yxuuaaa6qrr766+tWvflVVVbvH/LWvfa26/fbbx+b64MGDVVW19zoZHR2tlixZUj3zzDNVVZ2a79NOO606duxYq+b58ccfr/bv31+tXr26euqpp8Y+R/M603PujRndi1XVjms7N9dV5d+PVdWOcRMyF5jp51oE2hzTB22OwdBFm6Oquml3zHWbo1U/bF9++eXqzDPPrE6cOFFV1akbdtmyZdXOnTtneGSYHTt2VKtXr66qqqoWLVo09iCsqqratGlT9fvf/36GRjaR9957r/rUpz5V/e1vf6s2b948dlG3dcxvvvlmdeaZZ1avv/76hM/bfJ2Mjo5W55xzTvX4449XVVVVzzzzTLVixYrq+PHjrZzn9MGH5rVNc+49rJX0Xqyqdl3bdty5+7Gq2jVuQmYrbXqulUCbYzDQ5hg8XbQ57LgtbbU75qrN0SpX5P3798vy5ctleHhYRER6vZ6MjIzIvn37ZnhkmHvvvVc++9nPyuHDh+XEiRNy3nnnjX23Zs2a1ox/69at8rGPfUyuvPLKsbuosIIAAAOpSURBVM/aPObdu3fLOeecI/fcc49cddVV8olPfEIee+yxVl8nvV5PHnzwQbn++utl9erV8vGPf1zuv/9+eeONN1o7zwqa1zbPeYreiyLtvrZF/PtRpP3jJmS20JXnmoU2x2CgzTG9zAabQ6Q7dsdcsTmGZ3oAXeeee+6RXbt2yWOPPSZvv/32TA8ny3PPPScPP/xwp/zmT548KXv37pVLL71UvvWtb8lTTz0lW7Zske3bt8/00LKcPHlS7r77btm2bZtce+21smPHDvnMZz7jxjmQ/pLei22ni/cjIWTmoc0xOGhzkFK6Ynd08X6sS6sU21WrVsnBgwfl5MmTIiJSVZXs27dPRkZGZnhkPt/97ndl27Zt8pvf/EbOOOMMWbp0qQwPD8uhQ4fGttmzZ08rxv+nP/1J9uzZI+vWrZM1a9bIX/7yF7n11lvloYceau2YR0ZGZGhoSL785S+LiMiHP/xhueCCC2Tv3r2tvU6efvppeemll+Taa68VEZFNmzbJypUr5dlnn23tPCvo/mv7vWnvRRHp5P34wx/+sNXjJmQ20fbnmoU2x2ChzTG9dNnmEOmW3TGnbI6Z84L22bx584Rg8SuvvHJmB5The9/7XrVx48bqyJEjEz6/+eabJwRgr1ixopUB2Kl/fZvHvGXLlmr79u1VVVXVf/7zn2rp0qXVgQMHWnudHDp0qFq8eHH1/PPPV1VVVTt37qyWLFlS7d27t5XzbGMw0Ly2Zc7tmHP3YlW169pGMTo23qVN4yZkNtOW59pU0OaYHmhzDJYu2hxV1U27Y67aHK37YfvCCy9UV199dbVu3brqyiuvrJ599tmZHtIk9u/fX4lIdeGFF1ZXXHFFdcUVV1Qf+chHqqo69ZDZsmVLtXbt2urSSy+t/vCHP8zwaH3Si7rNY969e3f1f//3f9X69euryy+/vPrlL39ZVVW7r5Of//znY+Ndv3599bOf/ayqqnbN86233lqdf/751bx586pzzz23uuiii6qqwvM603PujRndi1XVjjnPzXWKfcm0YdyEzAVm+rkWgTbH9EGbYzB00ebIjbvtdsdctzl6VVVVM6sZE0IIIYQQQggh9WlVjC0hhBBCCCGEEFIKf9gSQgghhBBCCOk0/GFLCCGEEEIIIaTT8IctIYQQQgghhJBOwx+2hBBCCCGEEEI6DX/YEkIIIYQQQgjpNPxhSwghhBBCCCGk0/CHLSGEEEIIIYSQTsMftoQQQgghhBBCOs3/A6MXReQlBMJeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1280x320 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Binomial filter on an image\n",
    "res_image_bin = convolve(image, bin_filter) /16\n",
    "## plotting\n",
    "fig=plt.figure(figsize=(16, 4), dpi= 80, facecolor='w', edgecolor='k')\n",
    "plt.subplot(121)\n",
    "plt.imshow(image, cmap=\"gray\")\n",
    "plt.title(\"Original image\");\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.imshow(res_image_bin, cmap=\"gray\")\n",
    "plt.title(\"Applied binomial filter\");\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Checking the difference between Binomial and Box kernel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1280x320 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## plotting\n",
    "fig=plt.figure(figsize=(16, 4), dpi= 80, facecolor='w', edgecolor='k')\n",
    "plt.subplot(131)\n",
    "plt.imshow(image, cmap=\"gray\")\n",
    "plt.title(\"Original image\");\n",
    "\n",
    "plt.subplot(132)\n",
    "plt.imshow(res_image_box, cmap=\"gray\")\n",
    "plt.title(\"Box filter\");\n",
    "\n",
    "plt.subplot(133)\n",
    "plt.imshow(res_image_bin, cmap=\"gray\")\n",
    "plt.title(\"Binomial filter\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X derivative \n",
      " [[-0.125 -0.625 -1.    -0.625]\n",
      " [-0.125  0.125  0.125  0.   ]\n",
      " [ 0.125  0.625  1.     0.625]]\n",
      "Y derivative \n",
      " [[-0.375 -0.375 -0.25   0.375]\n",
      " [-0.375 -0.625 -0.375  0.75 ]\n",
      " [-0.125 -0.125 -0.5    0.375]]\n",
      "Gradient\n",
      " [[0.39528471 0.72886899 1.03077641 0.72886899]\n",
      " [0.39528471 0.63737744 0.39528471 0.75      ]\n",
      " [0.1767767  0.63737744 1.11803399 0.72886899]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1280x320 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1280x320 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Applying Sobel filter\n",
    "\n",
    "## test image\n",
    "dx_kernel = np.array([[1, 2, 1], [0, 0, 0], [-1, -2, -1]]) # over rows\n",
    "dy_kernel = np.array([[1, 0, -1], [2, 0, -2], [1, 0, -1]]) # over columns\n",
    "\n",
    "dx_image_test = convolve(test_img, dx_kernel) / 8\n",
    "dy_image_test = convolve(test_img, dy_kernel) / 8\n",
    "res_image_test = np.sqrt(np.square(dx_image_test) + np.square(dy_image_test))\n",
    "print(\"X derivative \\n\", dx_image_test)\n",
    "print(\"Y derivative \\n\", dy_image_test)\n",
    "print(\"Gradient\\n\", res_image_test)\n",
    "\n",
    "## real image\n",
    "dx_image = convolve(image, dx_kernel) / 8\n",
    "dy_image = convolve(image, dy_kernel) / 8\n",
    "\n",
    "res_image = np.sqrt(np.square(dx_image) + np.square(dy_image))\n",
    "\n",
    "## plotting\n",
    "plt.figure(figsize=(16, 4), dpi= 80, facecolor='w', edgecolor='k')\n",
    "plt.subplot(121)\n",
    "plt.imshow(image, cmap=\"gray\")\n",
    "plt.title(\"Original image\");\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.imshow(res_image, cmap=\"gray\")\n",
    "plt.title(\"Sobel: Gradient\");\n",
    "\n",
    "plt.figure(figsize=(16, 4), dpi= 80, facecolor='w', edgecolor='k')\n",
    "plt.subplot(121)\n",
    "plt.imshow(dx_image, cmap=\"gray\")\n",
    "plt.title(\"Sobel: dX image\");\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.imshow(dy_image, cmap=\"gray\")\n",
    "plt.title(\"Sobel: dY image\");\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
